# A circle's radius that has an initial radius of 0 cm is increasing at a constant rate of 5 cm per second. a. Write a formula to expresses the radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing. Preview b. Write a formula to express the area of the circle, A (in square cm), in terms of the circle's radius, r (in cm). A = Preview c. Write a formula to expresses the circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing. A = Preview d. Write your answer to part (c) in expanded form - so that your answer does not contain parentheses.

a.  The expression is R = 5t

b.  The area of the circle in terms of R is A = πR²

c.  The area of the circle in terms of t is A = π(5t)²

d.  The area of the circle in terms of t in the expanded form is A = 25π×t²

Linear system

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Circle

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

R = 5t where R is the radius, and t be the time.

a.  The expression will be

R = 5t

b.  The area of the circle in terms of R will be

Area = πR²

c.  The area of the circle in terms of t will be

Area = πR²

Area = π(5t)²

d.  The area of the circle in terms of t in the expanded form will be

Area = πR²

Area = π(5t)²

Area = 25π×t²

brainly.com/question/20379472

a. r = 5t

b.

c.

d.

Step-by-step explanation:

a. Since the radius is increasing at a constant rate of 5 cm per second.

r = 5t

where r is the radius at time t (seconds)

b. Area of circle

c. We can substitute r = 5t into the area formula to have

d. In expand form

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