Question

Find the area of the figure

Answer 1

Answer:

         A = 76.912

Step-by-step explanation:

Area of triangle with angle of 30°:

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

Area of triangle with angle of 50°:

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

Area of the rest of the figure:

$A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087$

Therefore:

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