Question

What is the length of XPY in terms of pie?

Answer 1

Answer:

A

Step-by-step explanation:

The angle subtended at the centre of the circle by arc XPY is 270°

That is 360° - 90° = 270°

arc length = circumference × fraction of circle

                 = 2πr × $\frac{270}{360}$

                 = 2π × 20 × $\frac{3}{4}$

                 = 40π × $\frac{3}{4}$ = 30π m → A

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

Given information: The radius of the circle is 20m and central angle of arc XY is 90 degrees.

The central angle of arc XPY is

$\text{Central angle of arc XPY}=360-90$

$\text{Central angle of arc XPY}=270$

Multiply this angle by $\frac{\pi}{180}$, to convert is into radian.

$\text{Central angle of arc XPY}=270\times \frac{\pi}{180}$

$\text{Central angle of arc XPY}=\frac{3\pi}{2}$

The formula for arc length is

$l=r\theta$

Where, r is radius and θ is central angle in radian.

$l=20\times \frac{3\pi}{2}$

$l=30\pi$

The length of XPY in terms of pie is 30π m. Therefore the correct option is A.