Question

radius of each circle is 1 cm .find the area of shaded region​

Answer 1

Answer:

answer is √3- π/2

Step-by-step explanation:

As triangle is equilateral so we can cal. it's area now triangle is equilateral soangle bw AB AND BC π/3 now we can cal. area of arc and then substract it from area of triangle

Answer 2

Answer:*(C) $\sqrt{3}-\frac{\pi }{2}\ cm^{2}$

Step-by-step explanation:

• Given: radius of each circle is 1 cm.
• To find: Area of shaded region.
• Solution:

        Each angle of triangle is 60° since it is an equilateral triangle of side 2 cm each.

Area of triangle=$\frac{\sqrt{3} }{4}(side)^{2}$

                         = $\frac{\sqrt{3} }{4}(2)^{2}$

                         = $\sqrt{3} \ cm^{2}$

Area of the three arcs of angle $\frac{\pi }{3}$= $3(\frac{\pi }{3*2\pi }\pi (1)^{2} )$

                                                      = $\frac{\pi }{2}\ cm^{2}$

Required area of shaded region = $\sqrt{3}-\frac{\pi }{2}\ cm^{2}$

• Hence, the required answer is option C.

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