High School

The diameter of a circular sumo wrestling ring is 14.9 ft. What is the area of the sumo wrestling ring?

Answer :

Final answer:

The area of a circular sumo wrestling ring with a diameter of 14.9 ft is calculated using the formula A = πr², which gives an area of approximately 174.53 square feet.

Explanation:

The question requires calculating the area of a circular sumo wrestling ring. To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius of the circle. The radius is half of the diameter, so for a sumo ring with a diameter of 14.9 ft, the radius is 7.45 ft. Substituting the values into the area formula:

A = π(7.45 ft)²

Now, calculate the area:

A = π(55.5025 ft²)

A ≈ 3.1416 × 55.5025 ft²

A ≈ 174.53 ft²

So, the area of the sumo wrestling ring is approximately 174.53 square feet.