Question

Find the length of arc XPY.

Answer 1

The length of arc XPY=28.26 m

Explanation:

We are given that a circle in which

Radius=6 m

Central angle made by arc XPY=
`360-90=270^(\circ)`

We have to find the length of arc XPY.

We know that

Arc length formula:
`(central\;angle)/(360^(\circ))* 2\pi r`

Substitute the value in the formula then we get

Length of arc XPY=
`(270)/(360)* 2* 3.14 * 6=28.26 m` (
`\pi=3.14`)

Hence, the length of arc XPY=28.26 m

Answer 2

Arc length XPY =28.26 m.

Explanation:

Given : A circle with two arc XY and XPY and radius 6 m.

To find : Arc length XPY.

Solution : We have given that arc XY and XPY .

Radius = 6 m.

Central angle formed by arc XPY = 360 - 90 = 270.

Arc length = 2 *pi* r (
`(central\ angle)/(360)`.

Plugging the values

Arc length = 2 *3.14 * 6 (
`(270)/(360)`.

Arc length =37.68 (
`(3)/(4)`.

Arc length =37.68 * 0.75

Arc length XPY =28.26 m.

Therefore, Arc length XPY =28.26 m.