SOLUTION: ABC is an equilateral triangle with sides of length 5cm. AB, AC and BC are arcs of the circles having their centers at C, B, A respectively. Find the total area of the non-shaded r

Algebra.Com
Question 1148867: ABC is an equilateral triangle with sides of length 5cm. AB, AC and BC are arcs of the circles having their centers at C, B, A respectively. Find the total area of the non-shaded region of the diagram, in cm2
Diagram: https://imgur.com/a/MIy1nPL

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

Take  of the area of the circle with the radius of 5 cm.


Subtract from it the area of the equilateral triangle with the side length of 5 cm.


Take this difference 3 times.


    area =  = 6.774 cm^2  (approximately)    ANSWER

Solved.



RELATED QUESTIONS

Triangle ABC is an equilateral triangle with sides of length 3 cm. AB, AC, and BC are... (answered by KMST)
ABC is an equilateral triangle with sides of length 8 cm. Arc- AB, Arc-AC and Arc- BC are (answered by ikleyn)
Right triangle $ABC$ has $AB = AC = 6$ cm. Circular arcs are drawn with centers at $A, B$ (answered by ikleyn,math_tutor2020)
abc is a triangle with the vertices a,b and c. if a circle is drawn through a,b and c to... (answered by Edwin McCravy)
ABC is a right angle isosceles triangle, angle BCA = 90, with BC as the base and AB as... (answered by ikleyn)
ABC is a right angle isosceles triangle, angle BCA = 90, with BC as the base and AB as... (answered by Boreal,greenestamps)
Triangle ABC is right-angled at C with AB = 48 and AC= 64.The perpendicular bisector of... (answered by ikleyn,macston)
In an isosceles triangle labelled ABC, with BC as the base, and AB as the hypotenuse, and (answered by greenestamps)
Triangle ABC is an isosceles triangle. Sides AB and BC are the legs and side AC is a... (answered by vksarvepalli)