High School

Explain how to draw a circle with a circumference of [tex]\pi^2[/tex] inches.

Options:

A. The circle has a diameter of [tex]\pi^2[/tex] inches, so use a diameter of about 1.6 inches.

B. The circle has a radius of [tex]\pi[/tex] inches, so use a radius of about 3.1 inches.

C. The circle has a radius of [tex]2\pi[/tex] inches, so use a radius of about 6.2 inches.

D. The circle has a diameter of [tex]\pi[/tex] inches, so use a diameter of about 3.1 inches.

Answer :

Final answer:

We are required to find the radius or diameter for a circle with a circumference of π2 inches. Using the formula for the circumference C = 2πr, we find that the radius would be about 0.5 inches and the diameter would be about 1 inch. None of the given options match this finding.

Explanation:

The subject pertains to drawing a circle with a given circumference. Specifically a circle with a circumference of π2 inches. To ascertain the radius or diameter for this, we must understand the formula for the circumference of a circle, which is C = 2πr or C = πd.

In this case, if the circumference of the circle is π2 inches, then by using the formula C = 2πr, we can solve for the radius (r) as, r = C / (2π), which makes r equal to approximately 0.5 inches if we substitute the value of C as π2 inches.

Hence, from the given options, none are correct. The circle would possess a radius of about 0.5 inches. If we have to find the diameter (d), we can simply double the radius as per d = 2r. This gives a diameter of 1.0 inch, thus no option given aligns with these calculations.

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Answer:

he circle has a radius of π inches, so use a radius of about 3.1 inches.

Step-by-step explanation:

The circumference of a circle can be described as the linear distance round the circle

The circumference of a circle = 2nr

n = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

If diameter = n2

diameter = 3.14 x 2 = 6.28

Radius = 1/2 x diameter = 6.28/2 = 3.1