165k views
2 votes
The edge of a square has a length of 23.8 cm.

The perimeter of this square is equal in length to the circumference of a circle.
Work out the radius of the circle.

User Ftynse
by
7.0k points

1 Answer

0 votes

Final answer:

To find the radius of a circle when the perimeter of a square is equal to the circumference of the circle, divide the perimeter of the square by 2π.


Step-by-step explanation:

To find the radius of the circle, we need to compare the perimeter of the square to the circumference of the circle. The perimeter of a square is calculated by multiplying the length of one side by 4, so in this case, the perimeter is 23.8 cm x 4 = 95.2 cm. The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. Since the perimeter of the square is equal to the circumference of the circle, we can set up the equation 95.2 = 2πr. To solve for r, we can divide both sides of the equation by 2π: r = 95.2 / (2π).


Learn more about Calculating radius when perimeter of a square is equal to circumference of a circle

User Overlox
by
6.9k points