Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f (r) represents the area of a circle (in square cm) that has a radius of r cm. Use function notation to complete the following tasks

a. Represent the area (in square cm) of a circle whose radius is 4 cm.

b. Represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm.

(a) f (4) square cm.

(b) f (10.91) - f (10.9) Square centimeter.

Step-by-step explanation:

f (r) = the area of a circle (in square cm) that has a radius of r cm.

(a) Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f (4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

Area of the circle with a radius of 10.91 = f (10.91) square cm. Area of the circle with a radius of 10.9 = f (10.9) square cm.

Change in the Area = f (10.91) - f (10.9) Square centimeter.