Question

An angle measures 4.3 radians. To the nearest degree, what is the measure of the angle?

Answer 1

1 radian = 180°/π

4.3 radians = 4.3 * 180°/π ≈ 246.37°

≈ 246°

Answer 2

Answer: Measure of angle=
`246^(\circ)`

Explanation:

We know that,

1 radian =
`(180^(\circ))/(\pi)`

Therefore, 4.3 radians=
`4.3*(180^(\circ))/(\pi)`

`\\=4.3*(180^(\circ))/(3.14)`

Divide 4.3 by 3.14 and then multiply 180 to it to get the answer.

`\Rightarrow\text{4.3 radians}=246.372^(\circ)\approx246^(\circ)`

Therefore, measure of angle=
`246^(\circ)`