Need help with geometry! | Mathematics | Page 1

wraith sparrow Apr 19, 2024, 11:05 PM

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The figure shows a circle with center O, AB is the side of this circle. Find the ratio of the area of the shaded figure to the area of the circle if / BAO=35

zenith frostBOT Apr 19, 2024, 11:05 PM

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wraith sparrow The figure shows a circle with center O, AB is the side of this circle. Find the...

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wraith sparrow Apr 19, 2024, 11:06 PM

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I tried using the formula but I always get a different answer.

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The answer to the problem is 11/36 but i don't understand the steps behind that

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What do I do?

wraith sparrow Apr 19, 2024, 11:27 PM

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Anyone?

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@brisk seal Sorry for the ping, once ur available could you please assist me with this problem?

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Once you're free ofc

brisk seal Apr 19, 2024, 11:50 PM

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hi I am looking at it! one sec

drowsy drum Apr 19, 2024, 11:52 PM

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hello, still need help?

wraith sparrow Apr 19, 2024, 11:52 PM

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Yeah

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Ivy is looking at the problem but i wouldnt mind two helping ig

drowsy drum Apr 19, 2024, 11:54 PM

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wait do the two shaded areas intersect at O?

wraith sparrow Apr 19, 2024, 11:55 PM

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Yes

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So we have to find those shaded sectors

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Their areas

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And divide it with the area of the circle

brisk seal Apr 19, 2024, 11:56 PM

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here is a hint to help you come up with your strategy

wraith sparrow Apr 19, 2024, 11:56 PM

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45 degrees

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Correct?

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I meant the angle of O

brisk seal Apr 19, 2024, 11:57 PM

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wraith sparrow 45 degrees

not quite

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the important angles are the ones I marked that live inside the shaded area

drowsy drum Apr 19, 2024, 11:58 PM

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u can easily know the angle ABO

wraith sparrow Apr 19, 2024, 11:58 PM

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Its 90 degrees

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Is it not

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Oh.

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OHHHH

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THATS WHERE I MESSED UP

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55 degrees

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Not 45

drowsy drum Apr 19, 2024, 11:59 PM

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yea

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and since u have two shaded areas then their centre angles sum will be 55*2 right

brisk seal Apr 20, 2024, 12:00 AM

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haha lol was that the issue

wraith sparrow Apr 20, 2024, 12:00 AM

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Yeah, I just have to find the areas

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Let me calculate it

drowsy drum Apr 20, 2024, 12:00 AM

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thonk ok

wraith sparrow Apr 20, 2024, 12:00 AM

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So this is the sector formula

brisk seal Apr 20, 2024, 12:01 AM

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good this accounts for one of your little triangles of area

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(careful -- you have two of them)

wraith sparrow Apr 20, 2024, 12:02 AM

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I'll just multiply the answer by two and

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Divide it with the area of the circle

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The answer must be 11/36

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Thats what the answer sheet says so

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One moment

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Yep.

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That's the answer

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Thank you all for the help

drowsy drum Apr 20, 2024, 12:03 AM

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yea itll be right, but you dont even need to use the formula, you can always just write a proportion of the angles. Like it'd just be (55*2)/360 = 11/36

wraith sparrow Apr 20, 2024, 12:03 AM

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Oh, yeah true.

brisk seal Apr 20, 2024, 12:04 AM

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drowsy drum yea itll be right, but you dont even need to use the formula, you can always jus...

good point!!

wraith sparrow Apr 20, 2024, 12:05 AM

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I'll be closing the post now, thank you both.

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+close

#Need help with geometry!