Question

the diameter of two circles with Centre A and B are 16 cm and 30 cm respectively if your area of circle with Centre C is equal to the difference of areas of the two circles then find the circumference of the circle with Centre c

Answer 1

Answer in attachment.
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Answer 2

Area of circle = πr^2,

Let the radius of circle with centre C = R

According to question,

π(15)^2 – π(8)^2 = πR^2

⇒ 225π – 64π = πR^2

⇒ R^2 = 161

⇒ R = √161

Circumference of circle = 2πR

= 2π × √161

= 2√161 π cm