LOVE_MATH

Geometry Level 2

The area shaded can be expressed as n π n\pi , find n


The answer is 13.

Mardokay Mosazghi by Mardokay Mosazghi , 22, USA

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2 solutions

Julian Poon
Dec 6, 2014

Angle B O C = 360 ° − 180 ° − 50 ° = 130 ° BOC=360°-180°-50°=130°

So the shaded part is 130 360 \frac{130}{360} the area of the circle, which makes the shaded part 130 360 × 6 2 π = 13 π \frac{130}{360}\times{6}^{2}\pi=13\pi therefore the answer is 13 \boxed{13}

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Paola Ramírez
Jan 26, 2015

∠ B O C = 180 ° − 50 ° = 130 \angle BOC=180°-50°=130

Shaded area is 130 360 × 36 π = 13 π \frac{130}{360}\times36\pi=13\pi

n = 13 \boxed{n=13}

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