Answer:   The required height, h = 8 cm

 

      Answer:   The Area Of The Green Area = 14 u²

     

        Answer:       X =  (6√10)/5 units

       

       
       
       

          Answer: (i)  h = (3√2431)/80 units

        (ii)  R = (80√2431)/2431 units

         

         
         
         

            Answer: The green area = (64√5)/15  cm²

           
           
           

              Answer: The blue area = 6 u²

             
             
             

                Answer: The blue area = 10(5)¹ᐟ²  u²

               
               
               

                  Answer: (i)  R = [6(13)¹ᐟ²]/13 cm

                (ii)  Area Of ABCD = 24 cm²

                 
                 
                 
                 

                    Answer:  R = 2.7452 units   to  4 d.p

                   
                   
                   
                   

                      Answer:   |AD| = 4 units

                     
                     
                     
                     

                        Answer:   X = 4.5714 units   to  4 d.p

                       
                       
                       
                       

                          Answer:  y = 39/5 cm OR  7.8 cm

                         
                         
                         
                         

                            Answer: 

                          (i) The length of the rectangle, 

                          L = [9 + 2√(12 + 7(6)¹²] units OR  19.7975 units  to 4  d,p

                          (ii) The Area Of The Pink Circle = π[7 + 2√6] u² 

                           OR  37.3817 u²  to 4 d.p

                           
                           
                           
                           

                              Answer:  Blue Area = 0.635 cm²     to  3 d.p

                             
                             
                             
                             

                                Answer:  (i) The radius, R of the circle equals to 10 cm

                               

                               
                               
                               
                               
                               

                                  Answer:  (i) The radius, R of the circle equals to 15/8 units.

                                 (ii)  < θ  = 31.72°   to  2  d.p

                                 
                                 
                                 
                                 
                                 

                                    Answer:  The radius, R of the semi-circle equals to 8 units.

                                   
                                   
                                   
                                   
                                   

                                      Answer:   (1)  the diameter of the circle = 5 cm      (2)  the perimeter of the blue square = 16 cm

                                     
                                     
                                     
                                     
                                     

                                        Answer:   (1)  x = 4 units and  (2)  Area of the circle = 16π cm²

                                       
                                       
                                       
                                       
                                       

                                          Answer:   |QG| = 22.24 cm    to   2  decimal places.

                                            Answer:   r = 4[1 + (7) ¹ᐟ²] cm

                                            (1)  a = 5.06 cm  to 2 d.p

                                            (ii)  semi-circle area = 103.88 cm²

                                              The correct option is C, 6.5 units

                                                (i) |PQ| = 4.93 cm

                                                (ii)  |AP| = 2.02 cm   all to 2 decimal places.

                                                Option C is correct. Radius, R = 2 units

                                                 

                                                (i)  Radius, R = 13 /2

                                                (ii)   x = 8 cm

                                                (i)  7.42 cm to 2 d.p

                                                (ii)  112.98°  t0 1 d.p

                                                (i)  <TSR = 124°   and   (ii)  <PTR = 46°

                                                Answers: (i)  <ACB =  40°  and  (ii)   Radius, of the larger circle, R = 11.2 cm   to 2 d.p

                                                Answer: (i)  x = √2/2 unit 

                                                Answer: (i)  x = √2/2 unit 

                                                Answer: (i) The radius, r of the red circle = 4 units  (ii)  Area of the circle not enclose by the cone = A = 169π /4 u² 

                                                Answer: (i) The radius, R of the circle = 3√3 cm (ii)  Area of the circle not enclose by the cone = A = (27(4π – 3√3)) /4 cm² 

                                                Answer:  Area of the triangle = (243/2) cm²   

                                                Answer:  Blue Area = 36.0253 cm²   to 4 d.p

                                                Answer:  (i) Radius , R =11.25 cm (ii) Area H = 56.64 cm²  to 2 d.p

                                                Answer:  (i) radius , r =1 m (ii) the time, t = 8 seconds.

                                                Answer:  (i) |BC| = 2√30 units (ii) Area of one of the triangles = 40√3  square units

                                                Answer:  (i) Radius, R = 2.86 cm ( 2 d.p) (ii) Area of red circle = 25.74 ㎠ ( 2 d.p)

                                                Answer:  (i) Radius, R = 4√2 cm (ii) Area of rectangle BCXY = 256 ㎠

                                                Answer:  (i) Radius, R = 25/2 cm  OR  12.5 cm

                                                 

                                                Answer:  (i) Radius, R = 18√2 cm 

                                                (ii) Blue Area = 6(108 – 31π) ㎠

                                                Answer:  (i) Radius, R = 4(2 -√2) cm 

                                                (ii) Blue Area = 32 – 32π(3 – 2√2) ㎠

                                                Answer:  (i) Required radius, r = (12/π) cm and (ii) Perimeter of small inscribed circle, P = 24cm

                                                 

                                                Answer:  |CB| = 12.7 cm  to 3 s.f

                                                Answers:  (i) Height of the triangle, h = 18 cm (ii) Area of the rectangle, A = 216√2 ㎠ (iii) Perimeter of the circle, P = 2π (6√3 +3√6 – 9) cm  OR 54.9 cm to 1 d.p if  π = 3.14

                                                Answers:  (i) y = 150 (ii) x = 3.77cm to 2 d.p

                                                Answers:  (i)  Radius, R of Blue circle = 13.73 cm (ii) Area of the Blue Circle, A = 591.93 ㎠

                                                Answers:  (i)  Blue Area = 128(2π -3√3) 

                                                Answers:  (i)  Area of the Quadrilateral = 939 ㎠ to 3 s.f

                                                Answers:  (i)  Area of the triangle, A = 3√3 ㎠ (ii) Radius, R of the circle, R = √(10 + 4√3) cm or  4.114 cm to 3 d.p

                                                Answers:  (i) Required area of one pink polygon, A = 12.728 ㎠ (to 3 d.p)   (ii) the side length of blue equilateral triangle, q = [(296)/3] cm (iii) the circumference, C = 12π2 cm. (iv) the perimeter of the black square, p = 48 cm. (v) the side length of regular blue polygon, x = 62 cm

                                                Answers:  (i)  Circumference Of A = 10π cm. (ii) Circle Area, B = 100π ㎠. (iii) Hexagon Area, C = 150√3 ㎠ .(iv) Length Of Square, D = 10√2 cm. (v) The height of the triangle, E = 10√3 cm

                                                Answers:  <x  = 34.6°   to 1 d.p

                                                Answers:  Radius, r = 0.5098cm and                    Area = 0.8165cm²                      ( All to 4 d.p)

                                                Answer: The Radius , R = 4√2 Or  5.6569 units.

                                                Answer:  72/(4 +√7)  Or 10.834 units to 3 d.p

                                                Answer: Red Line, |HQ| = 3 units.

                                                Answer:  26.6694cm OR (300√3)/(6+7√3) cm

                                                Answer: Radius, r = √7 units

                                                Answer: Square Area = 96 cm2

                                                Answer : Radius, R = 1 unit and Area = π cm2

                                                Find tan(α) if the radius of the quarter circle is 5.

                                                Answer: tan(α) = 1.6185 

                                                Answer: |CD| = 17 units

                                                Answer:  400π 

                                                Answer:  400π 

                                                Answer: 30 square units

                                                Answer: Radius, R = 15.312cm and <H = 36°

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