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(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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