Question

find the diameter of a circle with an area of 90.25 pi square meters

Answer 1

Answer:

19 meters

Step-by-step explanation:

The area of a circle is given as $90.25\pi$

-A circle's area is calculated using the formula:

$A=\pi r^2, r=0.5D, D=Diameter$

#We substitute for area in the equation and solve for D;

$A=\pi (0.5D)^2\\\\90.25\pi=\pi (0.5D)^2\\\\\sqrt{90.25}=0.5D\\\\D=19$

Hence, the circle's diameter is 19 meters

Answer 2

Diameter of a circle = 19 meters

Circle :

Circle is a rounded figure that consists of points that are equidistance from the center

Area of a circle :

Area of a circle is the area enclosed by the circle . The distance between the center to the circumference of circle is the radius.

Diameter is a straight line from one end of circle to the other end and it passes through the center of the circle

Given that area of the circle is 90.25 pi square meters

Area of the circle formula is

$Area = \pi r^2\\90.25\pi =\pi r^2\\divide \; both \; sides \; by \; pi\\90.25=r^2\\take \; square \; root \; on \; both \; sides\\r=\sqrt{90.25}\\ r=9.5$

diameter of the circle = 2 times of the radius

Diameter = 2 times 9.5=19 meters

Diameter of a circle = 19 meters

Learn more information about 'Circle' here :

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