A circle is divided into two parts by a chord, 3cm a wat from the center. Find the area of the smaller part if the circle has an area of 201cm squared.
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1 answer

Did you make your sketch?
Complete the central triangle with the chord as its base
let the central angle be 2Ø
area of whole circle = πr^2 = 201
r = √(201/π)
cosØ = 3/√(201/π) = ....
Ø = appr ....
2Ø = .....
we can find the area of the central triangle:
= (1/2)(r)(r)sin(2Ø) = ......
Also the area of the sector using ratios:
2Ø/360° = sector/210
sector = 210Ø/180
subtract the triangle area from the sector area and you have the segment area
I will leave all that calculation stuff up to you 👍
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answered by Reiny
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