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What is the quarter circle's radius if the perimeter of a quarter circle is 32.13 centimeters?
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
What is the perimeter of a rectangle that is 20cm by 2cm which has a quarter circle of radius 11cm on one 20cm side running off the 2cm side using 3.14 for π?
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.
What is the formula of the perimeter in the quarter of the circle?
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)
What name is given to the perimeter of circle?
The perimeter of a circle is its circumference
What is the name of the perimeter of a circle?
The perimeter of a circle would be the circumference.
