Question

The radius of a circle is 7 metres. What is the length of a 135° arc?

Answer 1

Answer:

Arc Length: 5.25π or $\frac{21}{4} \pi$

Explanation:

An arc is the part of the circumference of a circle.

Formula:

$\sf Arc \ Length = \dfrac{\theta}{360} \ \times \ 2\pi \ \times radius$

If applied:

$\sf Arc \ Length = \dfrac{135}{360} \ \times \ 2\pi \ \times 7$

$\sf Arc \ Length = \dfrac{3}{8} \ \times \ 14\pi$

$\sf Arc \ Length = \dfrac{21}{4} \pi$

$\sf Arc \ Length = 5.25 \pi$

Answer 2

Answer:

16.5 meters

Step-by-step explanation:

The length of an arc of a circle = 2πr(C/360°) ;where:

C is the central angle of the arc,

R is the radius of the arc

Length of the arc = 2π(7)(135/360)

= 16.493

= 16.5 metres (approx.)