Question

A semicircle has an area of 76.97 km². Find its radius​

Answer 1

radius = 7 km

Explanation:

The formula to find the area of a semicircle is:

Area =
`(1)/(2)` × π × r²

[r is the radius]

Substitute the values into the equation.

76.97 =
`(1)/(2)` × π × r²

76.97 × 2 = π × r²

153.94 = π × r²

r² =
`(153.94)/(\pi)`

r =
`\sqrt{(153.94)/(\pi ) }`

r =
`√(49)`

r = 7 km