Question

Find the length of arc XPY.

Answer 1

Answer:

Arc length XPY =28.26 m.

Step-by-step 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 ( $\frac{central\ angle}{360}$.

Plugging the values

Arc length = 2 *3.14 * 6 ( $\frac{270}{360}$.

Arc length =37.68 ( $\frac{3}{4}$.

Arc length =37.68 * 0.75

Arc length XPY =28.26 m.

Therefore, Arc length XPY =28.26 m.

Answer 2

Answer:

The length of arc XPY=28.26 m

Step-by-step 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:$\frac{central\;angle}{360^{\circ}}\times 2\pi r$

Substitute the value in the formula then we get

Length of arc XPY=$\frac{270}{360}\times 2\times 3.14 \times 6=28.26 m$    ($\pi=3.14$)

Hence, the length of arc XPY=28.26 m