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Please help me I need it as soon as possible ​-example-1

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Given:

  • Angle JKL= 112 units
  • JK= 7 units

To find:

  • The area of sector JKL to the nearest hundredth.

Solution:

JKL occupies
(112)/(360) of the circle.

Radius of the circle is 7 units.

First, we'll have to find the area of the circle.


\large\boxed{Formula: a= \pi {r}^(2)}

Let's solve!

Let's substitute the values according to the formula.

We are finding it in terms of pi.


a= 7×7


a= 49 \pi

Now, we can find the area of sector JKL.


= (112)/(360)× 49 \pi


= 47.89183467 \: {units}^(2)

Now, we'll have to round off to the nearest hundredth.

The value in thousandths place is less than 5 so we won't have to round up.

Final answer:


\large\boxed{a= 47.89 \: {units}^(2)}

Hence, the area of sector JKL is 47.89 square units.

User USeRnAmEhAhAhAhAhA
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