Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2

Question

Semenov [28]

3 years ago

6

Suppose that circles A and B have a central angle measuring 100°. Additionally, the measure of the sector for circle A is 10π m2

and for circle B is 40π m2. If the radius of circle A is 6 m, what is the radius of circle B?

Mathematics

2 answers:

lesya692 [45] · Answer 1 · 2022-01-27T08:35:43+03:00

We know that
When circles have the same central angle measure, the ratio of measure of the sectors is the same as the ratio of the radii squared<span>.
</span>so
rA²/rB²=A/B
where
rA-------> radius circle A
rB------> radius circle B
A------> area sector A
B------> area sector B
rB²=B*rA²/A-------> 6²*[40π]/[1<span>0π]-------> 144--------> rB=</span>√144
rB=12 m

the answer is
radius of circle B is 12 m

kolezko [41] · Answer 2 · 2022-01-27T10:26:13+03:00

kolezko [41]3 years ago

4 0

Answer:

the answer would be 12m

Step-by-step explanation: