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Sliva [168]
2 years ago
12

Chapter : Circles 1 question

Mathematics
1 answer:
erica [24]2 years ago
5 0
We can solve this question in 2 ways: either using degrees or converting the degrees into radians.

Since, the question says degrees itself and there is no specification of using radians only, so I have solved it using degrees itself.

Part (a):

Perimeter of sector ORS = 2*Radius + Arc RS = 2*21 + 60*  \frac{ \pi }{180} *21 =  \frac{ \pi }{3} *21 = 7 \pi

Part (b):

Area of sector ORS = \frac{60}{360} * \pi * 21^{2} =  \frac{1}{6} * \pi *21*21=  \frac{147}{2} \pi

Area of sector POQ = \frac{36}{360} *  \pi * 14^{2} =  \frac{1}{10} *  \pi * 196 =  \frac{196}{10}  \pi

Thus, area of shaded region
= Area of sector ORS - Area of sector POQ

= \frac{147}{2} \pi - \frac{196}{10} \pi =  \frac{735 - 196}{10}  \pi =  \frac{539}{10}  \pi = 53.9 \pi

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