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gayaneshka [121]
3 years ago
10

Find the diameter of a circle if the circumference is 52π inches

Mathematics
1 answer:
diamong [38]3 years ago
4 0
First we need to know how we usually calculate the circumference of a circle. Usually, we multiply the diameter with π in order to get the circumference, π, which is like a number we use to calculate many answers related to circles or spheres, it has endless decimals therefore we use the notion π.

Therefore, we can let the diameter be d, just an algebra first, and solve it by writing out the equation.

d x π = 52π
Divide π on both sides.
Even if π has a lot of decimals, but since π ÷ π equals 1 anyways, so we don't have to use a calculator for that.
d = 52

Therefore, the diameter is 52.
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Answer:

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Step-by-step explanation:

<em>~ Let us answer this question in terms of π, remaining so ~</em>

1. Assume that this is a complete circle, for the moment being. The chord with length of 12 units would act as the diameter, and using that information we could determine the circumference of this complete circle...which will help us in the future. Apply the formula π * d as such: π * 12 ⇒ 12π to get the circumference as 12π.

2. Knowing that the length of the complete circle's circumference is 12π, this arc is part of a semicircle, meaning that it's value would be half of that of the complete circle's circumference, or in other words: 12π/2 ⇒ <em>Answer ~ Length of arc: 6π</em>

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