Question

(2) The area of a sector is 308 cm². The measure of its arc is 45". Find its radius.​

Answer 1

Circumference = 39.6 cm

We know:

Circumference of a circle = 2πr

⇒39.6 =2×

22

7

×r⇒

39.6×7

2×22

=r⇒r=6.3 cm

Also,

Area of the circle = πr2

=

22

7

×6.3×6.3=124.74 cm2

like this

Answer 2

The radius is 28 cm.

Step-by-step explanation:

Given : The area of a sector is 308 cm². The measure of its arc is 45".

To find : Its radius ?

Solution :

The formula used is

$A=\pi r^2\times \frac{C}{360}$

where,

C  is the central angle in degrees  i.e. $C=45^\circ$

r  is the radius of the circle of which the sector is part.

A is the area i.e. A=308 cm²

Substitute the values,

$308=\frac{22}{7}\times r^2\times \frac{45}{360}$

$r^2=\frac{308\times 360\times 7}{45\times 22}$

$r^2=784$

$r=\sqrt{784}$

$r=28$

The radius is 28 cm.

#Learn more

Measure of an arc of a sector of a circle is 90 ° and its radius is 7 cm . Find the perimeter of the sector

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