Question

The radius of a circle is 2 feet. What is the area of a sector bounded by a 180° arc?​

Answer 1

`\bold{2\pi\ ft^2\approx6,28\ ft^2}`

Explanation:

360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.

`A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2`

Answer 2

`\boxed{Area = 3.14 ft^2}`

Explanation:

Radius = r = 2 feet

Angle = θ = π/2 (In radians) = 1.57 radians

Area of Sector =
`(1)/(2) r^2 \theta`

Area =
`(1)/(2) (4)(1.57)`

Area = 2 * 1.57

Area = 3.14 ft²