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505-555 (Easy)|   Geometry|      
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Bunuel
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In the figure above, the circle has center O and radius 8. What is th 13 Oct 2020, 00:15
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84% (01:27) correct 16% (02:11) wrong based on 83 sessions

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In the figure above, the circle has center O and radius 8. What is the length of arc PQR?

A. \(12 \pi\)

B. \(24 \sqrt{2}\)

C. \(6 \pi\)

D. \(12 \sqrt{2}\)

E. \(3 \pi \sqrt{2}\)


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In the figure above, the circle has center O and radius 8. What is th Updated on: 13 Oct 2020, 10:53
Originally posted by AntrikshR on 13 Oct 2020, 02:39.
Last edited by AntrikshR on 13 Oct 2020, 10:53, edited 1 time in total.
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Length of the Arc PRQ is nothing but 3/4 of the perimeter of whole circle.(As a quarter of the circle is given)
=> 3/4 (2*Pi*8) = 12 pi. (A)
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In the figure above, the circle has center O and radius 8. What is th 13 Oct 2020, 06:31
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AntrikshR , The que is about the length of PQR right?

A small doubt , is the length of PQR is equal to PRQ ?
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In the figure above, the circle has center O and radius 8. What is th 13 Oct 2020, 06:39
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Fighter1095
AntrikshR , The que is about the length of PQR right?

A small doubt , is the length of PQR is equal to PRQ ?
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Hi,

No, Length of PQR is not equal to PRQ.
IMO, it's a typo in the question as Arc PQR is nothing but the whole circle. Moreover, we don't know where exactly is the point R on the circle. Asking the length of the arc PQR or perimeter of the circle would be too simple :). Let's wait for the OA.
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In the figure above, the circle has center O and radius 8. What is th 13 Oct 2020, 08:42
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using formula:

Length of an arc= (x/360)* 2*3.14*r
where x= Angle subtended by the arc

substituting values= (270/360)*2*3.14*8
= 12 *3.14
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In the figure above, the circle has center O and radius 8. What is th 13 Oct 2020, 09:37
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Explanation:
r=8
length of arc PQR= (270/360) * 2 * π * r
= (3/4)*2*π*8
= 12π

IMO-A
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In the figure above, the circle has center O and radius 8. What is th 14 Oct 2020, 01:02
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Assuming the question to find out the length of PRQ.

Len(PRQ) = Circumference of the circle - Len(PQ)

Len(PQ) = (2*pi*8) (90/360) = 4pi

Len (PRQ) = 16pi -4i = 12 pi.

Hence the Ans is A) 12 pi
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In the figure above, the circle has center O and radius 8. What is th 14 Oct 2020, 11:49
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Is there a typo in the question? i'm very confused if not, any complete detailed solution?
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In the figure above, the circle has center O and radius 8. What is th 09 Oct 2024, 03:54
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