What is the diameter of a circle with a circumference of 84.78 inches? Use 3.14 for π.
26.99
okay
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is the mathematical constant pi, and r is the radius of the circle. We can rearrange this formula to solve for the radius: r = C / (2π) Substituting the given circumference of 84.78 inches and using 3.14 for π, we get: r = 84.78 / (2 x 3.14) ≈ 13.5 Therefore, the radius of the circle is approximately 13.5 inches. To find the diameter, we simply multiply the radius by 2: d = 2 x r = 2 x 13.5 = 27 Therefore, the diameter of the circle with a circumference of 84.78 inches is approximately 27 inches.
Can u help with another one plz?
A mountain bike tire completes 20 revolutions and travels 136 feet. Rounded to the nearest inch, what is the diameter of the bike’s tire? Use 3.14 for π.
We can use the formula for the circumference of a circle to solve this problem. The circumference is equal to the distance traveled by the tire during one revolution. Let d be the diameter of the tire, then the circumference is: C = πd If the tire completes 20 revolutions and travels 136 feet, then the total distance traveled by the tire is: total distance = 20 revolutions x circumference = 20πd We can now solve for the diameter d: 20πd = 136 d = 136 / (20π) d ≈ 1.09 feet To convert this to inches, we multiply by 12, since there are 12 inches in a foot: d ≈ 13.08 inches Rounding to the nearest inch, we get: d ≈ 13 inches Therefore, the diameter of the mountain bike tire is approximately 13 inches.
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