the area of an equilateral triangle is 49 root 3 cm2taking each angular point as centre,circles are drawn with radii - Maths - Circles

Question

the area of an equilateral triangle is 49 root 3
cm2taking each angular point as centre,circles are drawn
with radii equal to half of the legth of the side of the triangle
find the area of the triangle not included in the circles (take pi
root3=1 73)

S. Usha Rani · Accepted Answer

Let "a" be the side of equilateral triangle

3a24=493;a2=49*4;a= 7*2=14 cm;
Radius of circle = 14/2 = 7 cm
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Area of the first circle occupied by triangle = area of sector
=12r2θ=12*72*π*60180=773cm2
Area of all the 3 sectors = 77/3 * 3 = 77 cm2
Area of triangle not included in the circle
= area of triangle- area of all the 3 sectors
==493-77=7 87cm2

the area of an equilateral triangle is 49 root 3 cm2taking each angular point as centre,circles are drawn with radii equal to half of the legth of the side of the triangle.find the area of the triangle not included in the circles. (take pi root3=1.73)

the area of an equilateral triangle is 49 root 3 cm²taking each angular point as centre,circles are drawn with radii equal to half of the legth of the side of the triangle.find the area of the triangle not included in the circles. (take pi root3=1.73)