Question

an angle measures 4.3 radians. to the nearest degree, what is the measure of the angle? degrees

Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
Given radians \(r = 4.3\), then \(D=4.3\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

We know that \(\pi\approx3.14159\).
So \(D = 4.3\times\frac{180}{3.14159}\).
First, \(4.3\times180=774\).
Then \(D=\frac{774}{3.14159}\approx246.37\).

Answer:

\(246\)