Question

If 'r' is the radius of the circle , then the area of the sector which makes an angle 1° at the center is ....

Please answer this with explanation...✨✨​

Answer 1

Answer- The above question is from the chapter 'Areas related to Circles'.

Concept used: Area of sector of a circle = $\pi r^{2} \times \dfrac{\theta}{360^{\circ}}$

where r = radius of circle

θ = angle of sector

Given question: If 'r' is the radius of the circle , then the area of the sector which makes an angle 1° at the centre is _____.

Solution:

Given: For a circle,

Radius = r

Angle of sector = θ = 1°

To find: Area of sector

Sol.: We know that,

area of sector of a circle = $\pi r^{2} \times \dfrac{\theta}{360^{\circ}}$

On substituting the values, we get,

area of sector of a circle = $\pi r^{2} \times \dfrac{1^{\circ}}{360^{\circ}}$

area of sector of a circle = $\pi r^{2} \times \dfrac{1}{360}$

area of sector of a circle = $\dfrac{\pi r^{2}}{360}$

∴ Area of sector of a circle = $\dfrac{\pi r^{2}}{360}$

Answer 2

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