Answer:
1. 254.35
2. 40.5
3. 173.34
Step-by-step explanation:
The area of a circle is [tex]A=\pi r^{2}[/tex] where r is the radius or fixed distance from the center to the edge of the circle. We know the radius of the circle is 9mm since the triangle's side goes from center to the edge of the circle. We substitute and find [tex]A=\pi 9^{2}=81\pi=254.34mm^2[/tex]
The area of a triangle is defined as A=1/2bh. We know the base and height of the triangle are each a radius since they extend from center to edge of the circle. This means both the base and height are 9. We substitute and find A=1/2(9)(9)=1/2(81)=40.5mm^2.
The shaded region is the area of the circle without the area of the triangles. We subtract both triangles from the circle by 254.34-40.5-40.5=173.34.
