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.
1 answer:
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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