Question

Measure of an arc of a circle is 90° and its radius is 14 cm. Complete the following activity to find the length of an arc.

Activity:

Length of an arc = `θ/360 xx square`   ...(Formula)

= `90/360 xx 2 xx 22/7 xx square`

= `1/4 xx square`

Length of an arc = `square` cm

Answer 1

Activity:

Length of an arc = \[\frac{θ}{360} \times \boxed{2πr}\]   ...(Formula)

= \[\frac{90}{360} \times 2 \times \frac{22}{7} \times \boxed{14}\]

= \[\frac{1}{4} \times \boxed{88}\]

Length of an arc = \[\boxed{22}\] cm