Star!!!


A regular five pointed star is inscribed in a circle of radius r
Find the area inside the star.

12 Answers

1
sriraghav ·

abhirup i think some info. is missin...r u sure dis is rite.......

13
Двҥїяuρ now in medical c ·

no....radius is given...u r to find the area in terms of 'r'

21
tapanmast Vora ·

ne idea regular star mein wat is da angle that it makes ther at vertices???

13
Двҥїяuρ now in medical c ·

is it 36° .....[7]

13
Двҥїяuρ now in medical c ·

angle at the centre is 360°/5=72°

so...at thr vertices 36°

now....i m stuck

plz help......

21
tapanmast Vora ·

[12]

62
Lokesh Verma ·

divide this in 10 triangles.

each triange from the vertex on the circle to the other vertex.

that can be done.

multiply this by 10..

can u solve it now?

13
Двҥїяuρ now in medical c ·

i tried it ....bhaiya...[2]

but still can't solve it.....

plz give some more hints.....

[12]

62
Lokesh Verma ·

for the orange part area will be area of OAB - CAB

13
Двҥїяuρ now in medical c ·

but how to find CAB

62
Lokesh Verma ·

you know angle CAB and angle AOC

Vertex angle is 36 degree

so angle AOB = 72 degree

<BAC= 72+36 = 108 degrees!

you know OA. S oyou know AB=2Rcos <OAB

so oyou know cos CAB=(AB/2)/AC

Now you know all the sides of the traingles and thus the ares :)

1
asdfg ·

here someone has posted before Nishant sir http://www.goiit.com/posts/list/algebra-star-911802.htm#939759

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