Question

Find the area of the shaded region. Round to the nearest hundredths place when necessary.

please show work​

Answer 1

450.25 sq in

Explanation:

Subtract area of triangle from area of circle

Area of Triangle:

need to get the radius (which we will use as the height) and double the radius to get the base

Pythagorean Theorem:

21² + 20² = c²

441 + 400 = c²

c =
`√(841)` which is 29

A(Δ) = 1/2(29)×14.5

= 210.25

Area of Circle:

A = π(14.5²)

= 660.52

Difference = 660.5 - 210.25 = 450.25