The diagram shows a semi-circle with diameter EF of length 12 cm. Angle GEF = radians

Question:

The diagram shows a semi-circle with diameter EF of length 12 cm.

Angle GEF = θ radians and the shaded region has an area of A cm2.

a. Show that A = 36θ + 18 sin 2θ.

b. Given that θ is increasing at a rate of 0.05 radians per second, find the rate of change of A when θ/6 radians.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: