Question

A sector of a circle of radius 14cm subtends an angle of 72° at the center of the circle. find the. length of arc of sector, perimeter of the sector, area of sector​

Answer 1

Answer:

STEP–1

The circle of the radius =14

The subtends an angle =72°

Therefore the perimeter of the sector =72–14=58°

STEP –2

The perimeter of the sector=58°

Therefore area of the sector =58–14=44

ANSWER—1)The perimeter of the sector is 58

ANSWER—2)The area of sector is 44

Answer 2

The perimeter of the sector is 45.6 cm

The area of the sector is 123.20  sq. Cm

Given:

radius of the circle = 14 Cm

angle it subtends at center =72°

To find:

perimeter of the sector

area of the sector

Solution:

please refer to the attached diagram.

formula for calculating the perimeter of the sector = 2πr*72/360+2r

=2*22/7 * 14 *72/360 + 2*14

= 45.6 cm

formula for calculating  the area of the sector = πr²× $\frac{72}{360}$

=22/7 *14*14*72/360

=123.20  sq. Cm

Therefore,The perimeter of the sector is 45.6 cm

The area of the sector is 123.20  sq. Cm

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