Question

For the school fair, Helen paints a large target for the beanbag toss. The radius of the innermost circle is 6 inches. The diameter of the middle circle is 2 feet. The diameter of the largest circle is 6 feet.

A) The radius of the middle circle.

B) The radius of the largest circle.

C) The area of the largest circle.

D) The circumference of the innermost circle.

Answer 1

The radius of the middle circle is 1 foot. The radius of the largest circle is 3 feet. The area of the largest circle is 9π square feet. The circumference of the innermost circle is 12π inches.

Step-by-step explanation:

A) The radius of the middle circle is equal to half of its diameter.

Since the diameter of the middle circle is 2 feet, the radius is 1 foot.

B) The radius of the largest circle is also equal to half of its diameter.

Since the diameter of the largest circle is 6 feet, the radius is 3 feet.

C) The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius.

For the largest circle, the radius is 3 feet, so the area is A = π(3²) = 9π square feet.

D) The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. For the innermost circle, the radius is 6 inches, so the circumference is C = 2π(6) = 12π inches.