Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (Use π = 22/7)

Solution:

Let the radius of the circle be r unit and the arc of 1 unit which suspends and angle Θ radian at the center.

Θ = l / r radian

Given that

r = 100 cm

and l = 22 cm

By substituting the value, we get

Θ = 22 / 100 radian

To find the degree measure, we will use 1 radian = 180° / π

⇒ (180° / π)  x (22 / 100)

= 126/10 degree = 12° 36'.

NCERT Solutions Class 11 Maths Chapter 3 Exercise 3.1 Question 4

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm

Summary:

Thus, the degree measure of the angle subtended at the center of a circle of radius 100 cm by an arc of length 22 cm is 12° 36'.