Question

if the area of a sector of a circle is 5/18 of the area of the circle, then whag is the sector angle?
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Answer 1

Answer:

The answer is 100°.

Find the value of the angle using the unitary method.

let the total area is equal to 18 units square.

18 ===2π

1 ==== 2π/18

5 ==== 2π*5/18

= 100°.

Answer 2

$\pi \ r ^{2} thetha \div 360 = 5 \div 18\pi \: r {}^{2} \\ theta \: \div 360 \: = 5 \div 18 \\ thetha \: = 5 \div 18 \times 360 = 100 \\ \: sector \: angle \: = 100$

Step-by-step explanation:

area of sector =

$\pi \: r {}^{2} theta \:$

and area of circle =

$\pi \: r { }^{2}$

area of sector = 5/18 area of circle