The diagram shows a circle with centre O and radius r cm. Points A and B lie
Question:
The diagram shows a circle with centre O and radius r cm. Points A and B lie on TU the circle and angle AOB = π/4 radians. The tangent to the circle at A intersects the straight line through O and B at the point C.
a) Find expressions in terms of r for
i) The area of sector OAB
ii) The length of AC
iii) The area of triangle OAC.
The area of the shaded region is 100 cm².
b) Find the value of r.
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ANSWER a i The area of sector OAB is given by the formula A 12 r2 where is the angle in radians In t...View the full answer
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Related Book For 
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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