A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle. What is the perimeter of the sector? Take \(\pi =\frac{22}{7}\)

A chord of length 30cm is 8cm away from the center of the circle. What is the radius of the circle. What is the perimeter of the sector? Take \(\pi =\frac{22}{7}\)

A 16cm
B 17cm
C 18cm
D 20cm

waec 2001 mathematics

The correct answer is B. 17cm

From the diagram

\(r^2 = B^2 + 15^2\\

= 64 + 225\\

r = \sqrt{289} = 17cm\)

Previous question Next question