The radius of the circle is 6 cm, find the increment in the circumference and area of the circle

The radius of the circle is 6 cm, find the increment in the circumference and area of the circle if the radius is increased by 0.2 cm.

Find the circumference and area of a circle with a radius of 6 cm.

Area of a circle S = 3.14 * (6 cm) ² = 113.04 cm².

Circumference C = 2 * 3.14 * 6 cm = 37.68 cm.

Now we will find the circumference and area of a circle with an increased radius of 0.2 cm.

6 cm + 0.2 cm = 6.2 cm.

S = 3.14 * (6.2 cm) ² = 120.7016 cm².

C = 2 * 3.14 * 6.2 cm = 38.936 cm.

Now let’s calculate the increment.

120.7016 cm² – 113.04 cm² = 7.6616 cm².

38.936 cm – 37.68 cm = 1.256 cm.

Answer: the increment in the circumference is 1.256 cm, the area is 7.6616 cm².