Find the area of the figure

Question

asked Mar 17, 2022 98.4k views

1 Answer

Darpet · Answer 1 · 2022-03-23T08:47:22+0000

Answer:

Explanation:

Area of triangle with angle of 30°:

$A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\frac{25}4=6.25$

Area of triangle with angle of 50°:

$A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\frac{25}2\cdot0.766=9.575$

Area of the rest of the figure:

$A_3=((360-30-50)^o)/(360^o)\cdot\pi\cdot5^2=\frac79\cdot\pi\cdot25 =61.087$

Therefore:

A=A_1+A_2+A_3=6.25+9.575+61.087=76.912