Question

A circle with area \blue{36\pi}36πstart color #6495ed, 36, pi, end color #6495ed has a sector with a central angle of \purple{48^\circ}48 ∘ start color #9d38bd, 48, degrees, end color #9d38bd. What is the area of the sector?

Answer 1

Answer:

Therefore,

Area of Sector is 4.8π units².

Step-by-step explanation:

Given:

$Area\ of\ Circle = 36\pi$

Central angle = θ = 48°  

To Find:

Area of Sector = ?

Solution:

If the θ  measured in degree then the Area of Sector is given as

$\textrm{Area of Sector}=\dfrac{\theta}{360}\times (Area\ of\ Circle)$

Where

θ = Central angle

On substituting the values we get

$\textrm{Area of Sector}=\dfrac{48}{360}\times 36\pi=4.8\pi\ units^{2}$

Therefore,

Area of Sector is 4.8π units².