Math, asked by nituupadhyay77, 1 year ago

if the area of a sector is 1/12th area of a circle then what is the measure of the corresponding central angle?

Answers

Answered by saqueebshaikh2641
10
circle complete angle= 360

so,
1/12×360= measuer of central angle
therefore,
measure of central angle=30 degree




hope its correct and may help u out

nituupadhyay77: thank you so much
Answered by windyyork
4

The central angle would be 30°.

Step-by-step explanation:

Since we have given that

Area of sector = \dfrac{1}{12} of area of circle.

So, mathematically, it is expressed as

\dfrac{\theta}{360}\times \pi r^2=\dfrac{1}{12}\times \pi r^2\\\\\dfrac{\theta}{360}=\dfrac{1}{12}\\\\\theta=\dfrac{360}{12}\\\\\theta=30^\circ

Hence, the central angle would be 30°.

# learn more:

If the area of a sector is 1/12th area of a circle then what is the measure of the corresponding central angle?

https://brainly.in/question/7948144

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