Question

in the given figure an equilateral triangle has been inscribed in a circle of radius 6 cm find the area of the shaded region use Pi 3.14

Answer 1

Answer:

Hence, our area is equal to 66.38 $cm^{2}$.

Step-by-step explanation:

Our question is: in the given figure an equilateral triangle has been inscribed in a circle of radius 6 cm find the area of the shaded region use Pi 3.14

We know that:

1. the area of circle is equal to πr^2.
2. the radius of a circle, R is equal to (ABC) / 4 * area
3. the area of the shaded region is equal to the area of circle minus the  area of triangle.

Hence, we need to compute the following calculations:

R=(a^3)/(4*√3/4*a^2)

6=a/√3

a(side)=6√3

area =√3/4*(6√3)*(6√3)

area of Circle=22/7*36

area of shaded=( 22/7*36)-(3√3)/4*36

=113.14-46.764

=66.38

Hence, our area is equal to 66.38 $cm^{2}$.