Tag: areas related to circles

Questions Related to areas related to circles

If the angle subtended by the arc of a sector at the center is $90$ degrees, then the area of the sector in square units is

maths areas related to circles area of a sector of a circle sector and arc of a circle area of sectors and segments

  1. $2\pi r^2$

  2. $4\pi r^2$

  3. $\dfrac{\pi r^2}{4}$

  4. $\dfrac{\pi r^2}{2}$

Show answer
Correct Option: C
Explanation:

Since the Central angle is $90^{\circ}$, it means it is a Quad-circle.

So the Area of this sector is $\dfrac{1}{4}$ th of the Circle's Area $= \dfrac{1}{4}* \pi r^2$