Question

Anita sets a sprinkler in the center of her square garden. The area the sprinkler waters creates a circle inscribed in the square. The radius of the circle created by the water is ____ feet. The garden is represented by a square. The sprinkler head is at the center of the square and waters in a circular region. The circle has a radius of 15 feet and has the same center as the square. The circle is inscribed in the square, so it only intersects the square at four points, one point on each side of the square.

Answer 1

The radius of the circle created by the sprinkler is 15 feet.

Step-by-step explanation:

The area of the circle created by the water from the sprinkler is equal to the area of the square garden. Since the circle is inscribed in the square, the diameter of the circle is equal to the length of the side of the square. The radius of the circle is half the length of the side of the square, so in this case, the radius of the circle is 15 feet.