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If the circumference of a circle is 35 inches, which is closest to its area? A. 380 square inches B. 98 square inches C. 17 square inches D. 35 square inches

Respuesta :

Well first we have the circumference of the circle 35 our first step is to divide it by pi to see what the radius is:

35/pi=11.1408460164

Now that we know what the radius of the circle we are going to square it and then multiply by pi to find what is the area of the circle:

11.1408460164²=124.118449961

124.118449961xpi=389.929610573 square inches

Now that we know what the area is of the circle we need to calculate which area is closest to the answer which happens to be A. 380 square inches.

Parrain

The area of the circle given the circumference is B. 98 inches².

The circumference of a circle is calculated by the formula:

= π x diameter

You can therefore find the diameter given the circumference:

35 = 22/7 x diameter

Diameter = 35 / 22/7

= 11.14 inches

The radius is half of the diameter:

= 11.14 / 2

= 5.57 inches

Area of a square is:

= π x radius ²

= 22/7 x 5.57 x 5.57

= 97.51 inches²

= 98 inches²

In conclusion, the area of the circle is closest to 98 square inches.

Find out more at https://brainly.com/question/869085.

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