The arc is one quarter of a circle so is 2pir, the other components of the quarter circle are the two radii, so perimeter is 2r+2pir = 2r(1+pi)
The perimeter is also known as the circumference of a circle.
perimeter_of_quarter_circle = 1/2πr + 2r For the arc bit of the perimeter: circumference of circle = 2 x π x radius quarter of this = 1/2 x π x radius The two straight sides are radii which need to be added on making: perimeter_of_quarter_circle = 1/2 x π x radius + 2 x radius
For a given area a circle has least perimeter. eg Let area = 100 sq cms. For the square or rectangle the perimeter = 40 cms For the circle the radius is square root of 100/3.1416 = 5.64 and the circumference = 2 x radius x 3.1416 = 35.44 cms
The perimeter of a circle
The arc is one quarter of a circle so is 2pir, the other components of the quarter circle are the two radii, so perimeter is 2r+2pir = 2r(1+pi)
The perimeter of a quarter circle is 2 radii plus a quarter of the circumference of the whole circle: → 2 × radius + ¼ × 2 × π × radius = 32.13 cm → radius × (2 + π/2) = 32.13 cm → radius = 32.13 ÷ (2 + π/2) cm ≈ 9.00 cm
It is a 90 degree turn or circumference/4
Normally, the amount of the side of the rectangle below the quarter circle on it would expected to be calculated. However, the radius of the circle equals the amount that is subtracted, but in calculating the perimeter it has to be added back in again as it forms part of the perimeter. Thus the perimeter is the perimeter of the rectangle plus a quarter of the circumference of the circle. → perimeter = 2 × (20cm + 2 cm) + ¼ × 2 × π × 11 cm ≈ 44 cm + 3.14 × 11/2 = 61.27 cm.
Suppose the radius of the circle is r units. Then perimeter of a whole circle = 2*pi*r. So perimeter of curved part (arc) of a quarter circle = 2*pi*r / 4 = pi*r/2 Also, the quadrant has a radius on either end of the curved part. Their combined length is 2*r So the total perimeter = 2r + pi*r/2 = r(2 + pi/4)
The perimeter of a circle is its circumference
Half circle plus quarter circle is equal to three-fourths of a circle. Three-fourths of a circle plus one eighth of a circle is seven-eighths. You still need one more eighth to complete the circle.
What is the perimeter of a square
No because the perimeter of a circle is its circumference
circumference
The perimeter of a circle would be the circumference.
The perimeter of a circle is its circumference