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Mathematics

Grade9

Easy

Question

If the angle of the sector with radius 4 units is 45°, what is the area of the sector?

2 $π$
4 $π$
$π$ /2
$π$

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: 2 $pi$

Area of the sector $equals fraction numerator A n g l e o f sec invisible function application t o r over denominator 360 to the power of 0 end exponent end fraction cross times pi r to the power of 2 end exponent$
$equals fraction numerator 45 to the power of ring operator end exponent over denominator 360 to the power of ring operator end exponent end fraction cross times fraction numerator 22 over denominator 7 end fraction cross times 4 cross times 4$
$equals fraction numerator 44 over denominator 7 end fraction$ square units

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