Right triangle ABC has AB = AC = 6 cm. Circular arcs are drawn with centers
at A, B and C, so that the arc centered at A is tangent to side BC and so that the
arcs centered at B and C are tangent to the arc centered at A, as shown. What is
the area of the shaded region inside AABC but outside the three arcs? Express
your answer as a decimal to the nearest hundredth.

Question

03-12-2022
Mathematics

Answered

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Right triangle ABC has AB = AC = 6 cm. Circular arcs are drawn with centers
at A, B and C, so that the arc centered at A is tangent to side BC and so that the
arcs centered at B and C are tangent to the arc centered at A, as shown. What is
the area of the shaded region inside AABC but outside the three arcs? Express
your answer as a decimal to the nearest hundredth.

Sagot :

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