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melamori03 [73]
3 years ago
6

When a circular plate is heated in an oven, its radius increases at the rate of 0.01 cm/min. At what rate is the plate’s area in

creasing when the radius is 50cm? Be sure to include units in your answer.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

3.14 cm²/min

Step-by-step explanation:

rate of increasing of radius, dr/dt = 0.01 cm/min

r = 50 cm

Area of plate, A = πr²

rate of increase of area

dA/dt = 2πr dr/dt

dA/dt = 2 x 3.14 x 50 x 0.01

dA/dt = 3.14 cm²/min

Thus, the increase of rate of area is 3.14 cm²/min.

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