What is the relationship between the ratios?
1 answer:
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Answer:
A) 3/4
Step-by-step explanation:
Given: Both circle A and circle B have a central angle measuring 50°.
The area of circle A's sector is 36π cm2.
The area of circle B's sector is 64π cm2.
We know, area of the circle=
lets assume the radius of circle A be "" and radius of circle B be "
"
As given, Area of circle A and B´s sector is 36π and 64π repectively.
Now, writing ratio of area of circle A and B, to find the ratio of radius.
⇒
Cancelling out the common factor
⇒
⇒
Taking square on both side.
Remember; √a²= a
⇒
⇒
⇒
Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.