Elitmus
Exam
Numerical Ability
Geometry
find the radius of circle inscribed in a circle whose sides are 8 cm,15 cm and 17 cm.
Read Solution (Total 12)
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- It will be a triangle...
S=(8+15+17)/2=20
so, area of triangle, rootover(S(S-a)(S-b)(S-c))=60
as we know there is another formula,
area of triangle=rS, where r=radius of inscribed circle
So 60=r*20
So r= 3(ANS) - 10 years agoHelpfull: Yes(52) No(0)
- first 8cm, 15cm, 17cm must be a triangle.
then from the properties of incirle
r^2=((s-a)(s-b)(s-c))/s
now s=a+b+c/2=20
r^2=3*3(after solving)
so r=3cm - 10 years agoHelpfull: Yes(4) No(1)
- There is a mistake in you question buddy...
- 10 years agoHelpfull: Yes(3) No(5)
- why do circle have sides ..
- 10 years agoHelpfull: Yes(2) No(2)
- I never knew a circle has sides.. And that too 3 !
- 10 years agoHelpfull: Yes(2) No(3)
- since 8^2+15^2=17^2
this is the side of right angle triangle so area will be 1/2*8*15=60
we have the formula radius=area of triangle/s(semi perimeter)
s=8+15+17/2=20
therefore r=60/20=3
ans=3
- 10 years agoHelpfull: Yes(1) No(0)
- given triangle is a right angle triangle, with perpendicular side 15 and 8
so area = 60
(s)half perimeter= 20
we know
r.s=area
r.20=60
r=3cm - 10 years agoHelpfull: Yes(1) No(0)
- if the circle is inscribed
BY HERONS FORMULA
AREA WILL BE ROOT(20*3*5*12) = 60..
AREA IS ALSO =r*s where r is incentre..
r=3cm
or
if the circle is circumscribed then..
area =a*b*c/4R wher Ris circumradius..
R=8.5cm - 9 years agoHelpfull: Yes(1) No(2)
- it must be A triangle
- 10 years agoHelpfull: Yes(0) No(3)
- i think there is a mistake in question. there must be a triangle in place of circle
- 10 years agoHelpfull: Yes(0) No(2)
- We know for right angle trinangle inradius r is given by bc/ a+b+c,a being hypotenuss and b and c other sides
So 8*15/8+15+17
8*15/40=3 ans - 10 years agoHelpfull: Yes(0) No(0)
- 8 ,15,17. It must be a right angle triangle .
so r = (base+perpendicular- Hypotenuse)/2
r=3 - 2 years agoHelpfull: Yes(0) No(0)
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