Question

An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the angle of the sector in radians?

Answer 1

Given:

Arc length = 123.54 mm

Radius = 28 mm

To Find:

The angle of the sector in radian

Explanation

There are two ways to present an angle. An angle can be presented in degree or in radian. The conversion between degree and radian is as follow: 1 radian = 180 ÷ π

Formula:

Arc length = rθ where θ is the angle of teh sector in radian

Solution

Find the θ in radian:

To find the angle of sector, we simply substitute the arc length and the radius into the formula.

Arc length = rθ

123.54 = 28θ

θ = 123.54 ÷ 28

θ = 4.41 radian

Answer: The angle of the sector is 4.41 radian.

Answer 2

Answer:

the angles of the sector is 4.41 radium