a) A sector of a circle has an area of 75 cm² and a perimeter of 40 cm. Find:
i) the radius of the circle,
ii) the angle subtended at the centre of the circle in radians,
iii) the length of the arc of the sector.

b) Given that sin A = 5/13 and cos B = 3/5, where A is obtuse and B is acute, find the exact value of:
i) cos(A + B),
ii) sin(A - B).

Question

a) A sector of a circle has an area of 75 cm² and a perimeter of 40 cm. Find:
   i) the radius of the circle,
   ii) the angle subtended at the centre of the circle in radians,
   iii) the length of the arc of the sector.

b) Given that sin A = 5/13 and cos B = 3/5, where A is obtuse and B is acute, find the exact value of:
   i) cos(A + B),
   ii) sin(A - B).

Accepted Answer

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Answer

A) null

Answer

B) null

Answer

C) null

Answer

D) null

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