Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit. (Hint: Assume that the central point of each arc is its corresponding vertex.)

Area of the shaded region is 1.45 square units.

Step-by-step explanation:

Area of the shaded region = Area of the triangle - Area of three sectors of a circle formed inside the triangle

Area of the given equilateral triangle =

=

= 9√3

= 15.59 square units

Area of one sector of a circle =

=

= 1.5π

= 4.712 square units

Area of the shaded region = [15.59 - (3 × 4.712)]

= 15.59 - 14.14

= 1.45 square units

Therefore, area of the shaded region is 1.45 square units

a) 7x=7

step-by-step explanation: