Question

The radius of a circle is 5 centimeters. What is the length of a 90 arc?

Answer 1

Answer:

The length of arc is 7.85cm

Step-by-step explanation:

You can find the length of arc by using the formula :

$\frac{θ}{360} \times 2 \times π \times {r}$

θ = 90°

r = 5cm

Arc = (90/360)×2×π×5

= (1/4)×2×π×5

= (1/4)×10×π

= (5/2)π

= 7.85 cm (3s.f)

Answer 2

Given

radius (r) = 5 cm

thita = 90°

π = 3.14

We have the formula to calculate the length of arc which is

Arc length = 2πr ( thita / 360°)

= 2 * 3.14 * 5 ( 90° / 360°)

= 31.4 * 0.25

= 7.85 cm