Is it possible for a circle to have the following approximate measurements? Explain. Radius: 0

Alejandro Atkins

Alejandro Atkins

Answered question

2022-04-23

Is it possible for a circle to have the following approximate measurements? Explain.
Radius: 0.91 mi Circumference: 2.72 mi
A. Yes, a circle can have those measurements. The ratio of the circumference to the radius is approximately 3, which is close to the value of π.
B. Yes, a circle can have those measurements. So long as the circumference is more than twice the radius, a circle can have any measurements for radius and circumference.
C. No, a circle cannot have those measurements. The ratio of the circumference to the diameter would be approximately 1.5, which is not close to the value of ππ.
D. No, a circle cannot have those measurements. Miles are too large of a unit to measure, so it would be impossible to measure the radius and circumference of a circle of that size.

Answer & Explanation

Friegordigh7r7

Friegordigh7r7

Beginner2022-04-24Added 16 answers

Given data is :
Radius r=0.91 mi
Circumference C=2.72 mi
Now calculate the circumference,
C=2πr
=2×π×0.91 mi
=5.72 mi
Thus, the given value of circumference is not correct.
Now calculate the ratio of circumference to the radius,
Cr=5.720.91=2π
Cdiameter=πdd=π
Thus, it the not possible for the circle to have given measurement.
Hence, the correct option is (C)

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