Question

the area of a circle varies directly as the square of its radius.When the radius is 7cm, the area of the circle is 154cm the area of the circle whose radius is 14 cm.​

Answer 1

The area of a circle varies directly as the square of its radius. When you double the radius (from 7cm to 14cm), the area of the circle is multiplied by the square of 2. Therefore, the area of the circle (when radius is 14cm) is 616 cm^2.

Step-by-step explanation:

In mathematics, the

area of a circle

is represented by the formula πr^2, where r is the radius of the circle. The problem states that the radius of the circle is now 14 cm, which is twice the original radius. Since the area of a circle varies directly with the square of its radius, when you double the radius, you multiply the area by the square of 2, which is 4. Therefore, to find the new area, you would multiply the original area by 4. So, the new area is

154 cm * 4 = 616 cm^2

. So the area of the circle with a radius of 14 cm is 616 cm^2.

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