Question

At the rodeo, the bronco riding event takes place in a large dirt ring. The ring, according to officials, has an area of 171.9464 square yards. What is the ring's radius?

A) 7.73 yards
B) 8.25 yards
C) 6.22 yards
D) 7.39 yards

Answer 1

To find the radius of the dirt ring with a given area of 171.9464 square yards, we use the formula for the area of a circle and solve for the radius, arriving at an estimated radius of about 7.39 yards, corresponding to option D.

Step-by-step explanation:

The question asks for the radius of a dirt ring used for bronco riding at a rodeo, given its area in square yards. Since the area is likely that of a circle, we'll use the formula for the area of a circle, A = πr^2, where A is the area and r is the radius. The provided area is 171.9464 square yards.

To find the radius, we rearrange the formula to solve for r, obtaining r = √(A/π). Now we'll plug the area into the equation:

• Area (A) = 171.9464
• π (pi) is approximately 3.14159265359
• r = √(171.9464 / 3.14159265359)
  
• r ≈ √(54.7334)
• r ≈ 7.39 yards

Thus, the radius of the ring is approximately 7.39 yards, which corresponds to option D.