A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doi
ng: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
What is the central angle measure of the section representing those teenagers who prefer to play video games?
What is the central angle measure of the section representing those teenagers who prefer to play video games?
2 answers:
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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.