Solution for the question - if angle /_box is 120^(@) , what is the area of sector box in squaremeters? (radius = 15 m) 75iil '/> 15iil '/> 115iil '/>

Mathematics

Grade9

Easy

Question

If angle $angle B O X$ is $120 degree$ , what is the area of sector BOX in square meters? (radius = 15 m)

225 $π$
115 $π$
15 $π$
75 $π$

hint Hint:

Area of the sector $equals fraction numerator A n g l e o f sec invisible function application t o r over denominator 360 to the power of 0 end exponent end fraction cross times pi r to the power of 2 end exponent$

The correct answer is: 75 $pi$

To find the area of a sector, simply multiply the total area of the circle by the fraction of the part you are looking at.
In this case, our area will come from the following:
$A equals pi r to the power of 2 end exponent equals pi cross times left parenthesis 15 m right parenthesis to the power of 2 end exponent equals 225 pi m to the power of 2 end exponent$
To find the fractional part of the circle we care about, take the number of degrees in $angle B O X$ over the total number of degrees in a circle $360 to the power of ring operator end exponent$ ):
$fraction numerator 120 over denominator 360 end fraction equals fraction numerator 1 over denominator 3 end fraction$
So, we find our answer by multiplying these two parts together:
$225 pi m to the power of 2 end exponent cross times fraction numerator 1 over denominator 3 end fraction equals 75 pi m to the power of 2 end exponent$

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Can’t find what you’re looking for?

If angle $angle B O X$ is $120 degree$ , what is the area of sector BOX in square meters? (radius = 15 m)

225 $π$
115 $π$
15 $π$
75 $π$

Area of the sector $equals fraction numerator A n g l e o f sec invisible function application t o r over denominator 360 to the power of 0 end exponent end fraction cross times pi r to the power of 2 end exponent$

The correct answer is: 75 $pi$

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If angle is , what is the area of sector BOX in square meters? (radius = 15 m)

225 115 15 75

Area of the sector

The correct answer is: 75

Related Questions to study

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

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If angle $angle B O X$ is $120 degree$ , what is the area of sector BOX in square meters? (radius = 15 m)

225 $π$
115 $π$
15 $π$
75 $π$

Area of the sector $equals fraction numerator A n g l e o f sec invisible function application t o r over denominator 360 to the power of 0 end exponent end fraction cross times pi r to the power of 2 end exponent$

The correct answer is: 75 $pi$