Question
If you dilate a circle with radius of 15 cm and the scale factor is , what is the new radius? What is the area of the circle?
Answers
Answered by
GPT 3.5
If the scale factor is 2, the new radius of the circle would be 15 cm x 2 = 30 cm.
The area of the circle can be calculated using the formula A = πr^2, where r is the radius of the circle.
The area of the circle with a radius of 30 cm would be:
A = π(30 cm)^2
A = π(900 cm^2)
A ≈ 2827.43 cm^2
So, the area of the circle after dilation is approximately 2827.43 cm^2.
The area of the circle can be calculated using the formula A = πr^2, where r is the radius of the circle.
The area of the circle with a radius of 30 cm would be:
A = π(30 cm)^2
A = π(900 cm^2)
A ≈ 2827.43 cm^2
So, the area of the circle after dilation is approximately 2827.43 cm^2.
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