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Segment AB measures 4 cm and is a diameter of circle P. In triangle ABC, point C is on circle and BC = 1 cm. What is the area of the shaded region?

 

 Dec 3, 2020
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Inscribed triangle  ABC is a right triangle since its  base is on a diameter

 

AC  = sqrt ( 4^2  - 1^2 )  = sqrt (15)

 

Area of  ABC  =(1/2) (1) (sqrt (15))  =  sqrt (15)/2

 

Area of circle =  pi r^2  = pi * 2^2  = 4pi

 

Shaded area  =  [4pi  - sqrt (15)/2  ]  cm^2

 

 

cool cool cool

 Dec 3, 2020

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