Question

Find the area of the figure

Answer 1

A = 76.912

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`