three circles of radius 2cm touch one another externally these circles are circumscribed by a big circle of radius R cm find the value of R and area of shaded region
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three circle are touch externally mean
it's an equalateral triangle where three center of the circle connected with side 4
first we want to find circum center of the triangle
area=abc/4*r
r=4*4*4/4*√3/4*4*4
r=4/√3
large circle =radius of small circle + circum radius of triangle
R=2+4/√3
it's an equalateral triangle where three center of the circle connected with side 4
first we want to find circum center of the triangle
area=abc/4*r
r=4*4*4/4*√3/4*4*4
r=4/√3
large circle =radius of small circle + circum radius of triangle
R=2+4/√3
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Secondary School Math 13+7 pts
three circles of radius 2cm touch one another externally these circles are circumscribed by a big circle of radius R cm find the value of R and area of shaded region
Report by Gkpmaheesriv 12.04.2017
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LeninvikiExpert
three circle are touch externally mean
it's an equalateral triangle where three center of the circle connected with side 4
first we want to find circum center of the triangle
area=abc/4*r
r=4*4*4/4*√3/4*4*4
r=4/√3
large circle =radius of small circle + circum radius of triangle
R=2+4/√3
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