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28 votes
28 votes
ASAP! FIND THE AREA OF THE SECTOR

ASAP! FIND THE AREA OF THE SECTOR-example-1
User Rob Eyre
by
3.2k points

1 Answer

21 votes
21 votes

Answer:

probably B

Explanation:

Using the formula pi*r^2, we plug in our values
pi*49=49pi mi^2
but, we still have one more step, as we are calculating for three quarters of a circle, not a full circle.
To find the area for 3/4 of a circle, we just multiply 3/4 by the area of the circle

49pi*3/4=147pi/4

A quick way (though not always accurate) to guess the answer in a multiple choice like this is to see that someone might find the area of the full circle as their final answer, not multiplying by 3/4, so there's a good chance that 49pi mi^2 would be an answer in the multiple choice. since we know that there is a correct answer that is exactly 3/4 of that answer, we can take the ratios of the answers and check if any of them equal 3/4. indeed, after checking a bit, answer B divided by answer A equals 3/4 exactly, and no other answer combination equals 3/4 (D/B is about equal to 4/5). So, we can guess that B is the answer.

Still better to actually do the problem though

User Lauralee
by
3.1k points