Question

Find the area of the shaded region

Answer 1

17.5

Explanation:

The triangle is an equilateral triangle since all sides are equal

Area of a equilateral triangle is:

`ar(triangle) = (a^2√(3) x)/(4)`

`=(5^2√(3) )/(4) \\\\=(25√(3) )/(4) \\`

the sde of the square = diameterof the circle(d)

d = 6

r = d/2 = 3

ar(circle) = πr²

= π * 3²

= 9π

= 9*22/7

= 198/7

ar(shaded region) = ar(circle)-ar(triangle)

`= (198)/(7) - (25√(3) )/(4)`

= 17.5