Question

Find the measure of an angle in degrees and radian formed by an arc of 2.5 cm length at the centre of a circle with 15 cm radius

Answer 1

Concept:

Angle formed by an arc at the centre
= length of the arc / radius

Given:

Length of the arc = 2.5 cm
Radius of the circle = 15 cm


Angle formed by the arc
= 2.5 / 15

= 25 / 150

= 1/6 radians

= 1/6 × 180 / pi degrees

= 30 ×7 /22 degrees

= 210 /22 degrees

= 9 degrees 32 minutes 43 seconds

I hope this answer helps you

Answer 2

Angle formed by an arc at the centre
= length of the arc / radius

Given:

Length of the arc = 2.5 cm
Radius of the circle = 15 cm

Angle formed by the arc
= 2.5 / 15

= 25 / 150

= 1/6 radians

= 1/6 × 180 / pi degrees

= 30 ×7 /22 degrees

= 210 /22 degrees

= 9 degrees 32 minutes 43 seconds