Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

you are given two circles. one circle has a radius of x and the other h…

Question

you are given two circles. one circle has a radius of x and the other has a radius of y. answer the following questions. what is the scale factor of these circles? the ratio of the diameters of the first circle to the second circle? the ratio of the circumferences of these circles would be the ratio of the radii. these circles are

Explanation:

Step1: Scale factor is radius ratio

Ratio = x:y

Step2: Diameter ratio = radius ratio

Diameters: 2x, 2y → 2x:2y = x:y

Step3: Circumference ratio = radius ratio

Circumferences: 2πx, 2πy → 2πx:2πy = x:y

Step4: Radii ratio given

Ratio = x:y

Answer:

Scale factor: x:y
Ratio of diameters: x:y
Ratio of circumferences: x:y
Ratio of radii: x:y