Respuesta :

Answer: 1661 cm^2

Step-by-step explanation:

The area of a circle is pi*radius^2.

The diameter is given as 46 cm and the radius is 1/2 of the diameter = 23 cm.

Therefore, the area of the circle is pi*23^2 = 529pi = about 1661 cm^2

Answer: Choice D) 1661 cm^2

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Explanation:

The diameter is 46 cm, which cuts in half to the radius of 23 cm.

area = pi*(radius)^2

A = pi*r^2

A = pi*23^2

A = pi*529

A = 529pi

This is the exact area in terms of pi.

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From here, replace pi with an approximation such as 3.14

529*pi = 529*3.14 = 1661.06

This value is approximate of course. To get a better approximation, use more decimal digits of pi.

This then rounds to 1661 square cm.