Area of circle which has a triangle in ita

[vishal.pathak]

An equilateral triangle that has an area of 93 is inscribed in a circle. What is the area of the circle?
A. π6 B. π9 C. π12 D. 9π √3 E. 18π √3

Any quick way of doing this? OA not available

[kanwar86]

An equilateral triangle that has an area of 93 is inscribed in a circle. What is the area of the circle?
A. π6 B. π9 C. π12 D. 9π √3 E. 18π √3

Any quick way of doing this? OA not available

Kindly recheck the value of area. For one of the options to be correct, the area can't be 93.

[rijul007]

An equilateral triangle that has an area of 93 is inscribed in a circle. What is the area of the circle?
A. π6 B. π9 C. π12 D. 9π √3 E. 18π √3

Any quick way of doing this? OA not available

yep, kanwar86 is right..
please check your question again

[vishal.pathak]

An equilateral triangle that has an area of 93 is inscribed in a circle. What is the area of the circle?
A. π6 B. π9 C. π12 D. 9π √3 E. 18π √3

Any quick way of doing this? OA not available

yep, kanwar86 is right..
please check your question again

This is what the question says, this was given to me by a friend so yes, source is not a standard one

[kanwar86]

An equilateral triangle that has an area of 93 is inscribed in a circle. What is the area of the circle?
A. π6 B. π9 C. π12 D. 9π √3 E. 18π √3

Any quick way of doing this? OA not available

yep, kanwar86 is right..
please check your question again

This is what the question says, this was given to me by a friend so yes, source is not a standard one

The answer to this question, considering area of equilateral triangle to be 93, is 124π/√3
Approach:
1) Find altitude of equilateral triangle.
2) Centroid divides the altitude (median) of equilateral triangle in the ratio 2:1 with the larger part towards the vertex.
3) Larger part, found in step 2, is the circumradius from which area of circumcircle can be calculated.

[rijul007]

[vishal.pathak]

Incorrect: cos 30 = sqrt(3)/2

sqrt(3)/2 = a/2r

or r = a/sqrt(3)