Question

The diameter of the circle which shall contain
one-third of the area of a circle of radius 30 feet
is:​

Answer 1

Answer:

area of a circle with 30 ft radius = πr² = 900π ft²

1/3 of that is 300π ft²

radius of that is

300π ft² = πr²

r = √300 = 10√3

d = 20√3

Answer 2

Concept:

A closed circle geometric shape in space. A circle is a locus of a point moving around a fixed point at a defined distance from the point in mathematical terms. A circle is essentially a closed curve with an exterior line that is equally spaced from the centre. The radius of the circle is the constant distance from the point. You can find numerous examples of circles in everyday life, like wheels, pizzas, round surfaces, etc.

The length of a closed figure's boundary is referred to as its perimeter. For circles, a separate term is used to indicate the perimeter. It is known as the circle's "Circumference."

Diameter =2πr²

Area of circle = πr²

Given:

The circle which shall contain

one-third of the area of a circle of radius 30 feet

Find:

Find the diameter

Solution:

area of a circle with 30 ft radius = πr² = 900π ft²

1/3 of that is 300π ft²

radius of that is

300π ft² = πr²

r = √300 = 10√3

d = 20√3

Therefore the diameter is 20√3

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