CALCULATE A PERIMETER OF A SECTOR OF A CIRCLE OF RADIUS 7CM WHICH SUBTENDS ANGLE 6ODEGREE AT A CENTRE.

arc = rθ = 7(π/3)

perimeter = 2r + arc

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A sector of a circle subtends angle 120° at the centre.what is the perimeter of the sector if its radius is 7cm.

To calculate the perimeter of a sector of a circle, you need to know the radius of the circle and the angle subtended by the sector at the center of the circle.

In this case, the radius of the circle is given as 7 cm and the angle subtended by the sector is 60 degrees.

First, let's calculate the circumference (perimeter) of the entire circle:
Circumference = 2πr, where r is the radius
C = 2π(7) = 14π cm

Since the sector subtends an angle of 60 degrees, we can find the fraction of the circle that the sector represents by dividing the angle by 360 degrees:
Fraction of the circle = (angle / 360)
Fraction of the circle = (60 / 360) = 1/6

To find the perimeter of the sector, we multiply the fraction of the circle by the circumference of the entire circle:
Perimeter of sector = (Fraction of circle)(Circumference)
Perimeter = (1/6)(14π)
Perimeter ≈ 2.33π cm

Therefore, the perimeter of the sector of the circle with a radius of 7 cm and an angle of 60 degrees is approximately 2.33π cm.