Question

A varies directly as the square of r, and A = 2464 when r = 28. What is k?

a) k = 2
b) k = 4
c) k = 8
d) k = 16

Answer 1

To find the constant k, we can use the direct variation equation: A = kr^2. We are given that when r = 28, A = 2464. Substituting these values into the equation, we find that k is approximately 3.14.

Step-by-step explanation:

To find the constant k, we can use the direct variation equation:

A = kr^2

We are given that when r = 28, A = 2464.

Substituting these values into the equation, we get:

2464 = k(28)^2

Simplifying, we have:

2464 = 784k

Dividing both sides by 784, we get:

k = 3.14

Therefore, the value of k is approximately 3.14.