A circle with circumference 6 has an arc with a $$20^{\circ}$$ central angle. What is the length of the arc? ![](http://admin.getprephub.com/media/editor/ci12_20230216204346592907.png)

Solution Given that, Circumference $$(2 \pi r)=6$$ Or, $$r=\frac{3}{\pi}$$ or, $$\theta=20^{\circ}=\frac{20 \pi}{180}=\frac{\pi}{9}$$ We know that, $$s=r \theta$$ $${S}=\frac{3}{\pi} \times \frac{\pi}{9}=\frac{1}{3}$$

Prephub

Free Sample Paper! Boost your grades with additional practice papers.

Question

Difficulty Level:

Medium

MCQ

A circle with circumference 6 has an arc with a $20^{\circ}$ central angle. What is the length of the arc?

Select all that apply :

$\frac{1}{3}$

$5$

$7$

$\frac{2}{3}$

11 Claps

－ Create Free Account

Create a free account to view solution to this Question

By signing up, you accept PrepHub’sterms of serviceand dataprivacy policy.

－ Create Free Account

Create a free account to view solution to this Question

By signing up, you accept PrepHub’sterms of serviceand dataprivacy policy.