Question

Find the area of sector of a circle whose radius is 6 cm and length of corresponding arc is 12 cm.

Answer 1

The answer is 36cm²

GIVEN

Radius of the circle = 6cm

Measure of the arc = 12cm

TO FIND

Area of the sector of the circle.

SOLUTION

We can simply solve the above problem as follows;

We know that the sector of a circle is that part of circle enclosed between an arc and two radii of the circle.

To calculate the area of the sector of the circle we will apply the following formula;

$Area \: of \: sector \: = length \: of \: the \: arc \: \times \frac{radius}{2}$

Putting the values in the above formula we get;

$= 12 \times \frac{6}{2}$

= 36cm²

Hence, The answer is 36cm²

#Spj2

Answer 2

Answer:

The answer to the given question is the area of the sector of a circle is 36 cm².

Step-by-step explanation:

Given :

The radius of a circle = 6 cm.

The length of the corresponding arc of the circle is 12 cm.

To find :

Area of the sector of the circle.

Solution :

The radius and corresponding arc of the circle are given.

As we know that the sector of a circle is a part of the circle that was enclosed between an arc and two radii of the circle.

The formula that is used to find the area of the sector of the circle is

$length \: of \: the \: arc\: \times \frac{radius}{2} = area \: of \: the \: sector$

let x be the area of the sector of the circle

on substituting the values in the above formula, we get the answers as

$x = 12 \times \frac{6}{2} \\ x = 12\times 3 \\ = 36$

The value obtained is 36.

Therefore, the area of the sector of the circle is 36 cm².

# spj6

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