Question

Find the arc length of a partial circle

Answer 1

12.5664 units (rounded off to four decimal values)

Explanation:

Arc length = 2 × π × r ×
`(central-angle)/(360)`

For our partial circle;

The radius (r) = 8 units

The central angle = 90°

Arc length = 2 × π × 8 ×
`(90)/(360)` = 12.5663706144 units

Or 12.5664 units (rounded off to four decimal values)

Answer 2

4π units or 12.56 units

Explanation:

We want to find the arc length of 1/4 of the circle.Let's start by finding the circumference of the circle.

Circumference of the circle= 2πr

2π*8

8*2π

=16π

We now want to find the arc of the 1/4 of the circle.

The arc length is 1/4 of the circumference of the circle.

1/4*16π

16/4π

=4π

The arc length of the partial circle is 4π units.

Or 4*3.14=12.56 units

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