find the perimeter of a quadrant of a circle of radius 14 cm.
Find the perimeter of a quadrant of a circle of radius 14 cm
Answer:
To find the perimeter of a quadrant of a circle, you need to consider that a quadrant is one-fourth of the circumference of the circle. The formula for the circumference of a circle is 2\pi r, where r is the radius of the circle. Given that the radius of the circle is 14 cm, we can calculate the circumference of the circle as follows:
Circumference = 2\pi \times 14 cm
Circumference = 28\pi cm
Since a quadrant is one-fourth of the circumference, the perimeter of a quadrant would be:
Perimeter of a quadrant = \dfrac{28\pi}{4} cm
Perimeter of a quadrant = 7\pi cm
Therefore, the perimeter of a quadrant of a circle with a radius of 14 cm is 7\pi cm.