Pleaseee help me. ty!

Question

asked Dec 5, 2022 138k views

1 Answer

Jmnas · Answer 1 · 2022-12-12T10:33:09+0000

Explanation:

take a as the angle. x = 1.5 radians

Area of Sector in the circle(including shaded region)

$= (1)/(2)r {}^(2) x \\ = (1)/(2) (10) {}^(2) (1.5) \\ = 75units {}^(2)$

Area of Triangle =

$(1)/(2) r {}^(2) \sin(x) \\ = (1)/(2) (10) {}^(2) \sin(1.5) \\ = 49.87475units {}^(2)$

Area of shaded region = Area of Sector in Circle - Area of Triangle

$= 75 - 49.87475 \\ = 25.12525units {}^(2)$