Jamar cut a large circle out of vinyl to use as a cover
for the top of a cylinder. The circumference of the
vinyl circle is 24 inches. What is the area of the vinyl
circle to the nearest hundredth of a square inch?

Question

20-06-2022
Mathematics

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Jamar cut a large circle out of vinyl to use as a cover
for the top of a cylinder. The circumference of the
vinyl circle is 24 inches. What is the area of the vinyl
circle to the nearest hundredth of a square inch?

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ap8997154 ap8997154 · Answer 1 · 2022-06-25T12:18:37+02:00

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The area of the vinyl will be 45.84 inches².

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the circumference of the vinyl is 24 inches. Therefore, the radius of the vinyl will be,

Circumference = 2πR

24 inches = 2πR

R = (12/π) inches

Now, the area of the vinyl will be,

Area of vinyl = πR²

= π × (12/π)²

= 45.84 in²

Hence, the area of the vinyl will be 45.84 inches².

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Jamar cut a large circle out of vinyl to use as a cover for the top of a cylinder. The circumference of the vinyl circle is 24 inches. What is the area of the vinyl circle to the nearest hundredth of a square inch?

Respuesta :

What is a circle?

Otras preguntas

Jamar cut a large circle out of vinyl to use as a cover
for the top of a cylinder. The circumference of the
vinyl circle is 24 inches. What is the area of the vinyl
circle to the nearest hundredth of a square inch?