Question

A circle with radius \pink{6}6start color #ff00af, 6, end color #ff00af 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? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal rounded to the nearest hundredth.

Answer 1

24/5 pi

Explanation:

Answer 2

Therefore,

The area of the sector is 15.09 unit².

Explanation:

Given:

Circle with,

radius = r = 6 unit

central angle = θ = 48°

pi = 3.143

To Find:

Area of sector = ?

Solution:

If 'θ' is in degree the area of sector is given as

`\textrm{Area of Sector}=(\theta)/(360)* \pi r^(2)`

Substituting the values we get

`\textrm{Area of Sector}=(48)/(360)* 3.143* 6^(2)`

`\textrm{Area of Sector}=15.0864=15.09\ unit^(2)` rounded to nearest hundredth

Therefore,

The area of the sector is 15.09 unit².