Answer :
Final answer:
The area of the sumo wrestling ring is 5.29π square meters.
Explanation:
The area A of the sumo wrestling ring can be calculated using the formula for the area of a circle: A = πr^2. The circumference of the ring is given as 4.6π meters. We can use this information to find the radius of the ring and then substitute it into the area formula.
First, we can set up an equation using the circumference formula: C = 2πr = 4.6π. Solving for r, we find that r = 2.3.
Substituting this value into the area formula, we get: A = π(2.3)^2 = 5.29π square meters. Therefore, the area of the sumo wrestling ring is 5.29π square meters.
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Final answer:
The area of the sumo wrestling ring is 16.7π square meters.
Explanation:
The formula for the area of a circle is A = πr². In this case, we are given the circumference of the sumo wrestling ring, which is 4.6π meters. The circumference is equal to 2πr, so we can set up an equation to solve for the radius:
4.6π = 2πr
Dividing both sides of the equation by 2π gives:
r = 2.3
Now that we know the radius, we can use the formula for the area to calculate it:
A = π(2.3)²
A = 16.7π
Therefore, the area of the sumo wrestling ring is 16.7π square meters.
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