in the given figure ABC is an equilateral triangle inscribed in a circle of radius 4 cm find the area of the shaded region
Share
in the given figure ABC is an equilateral triangle inscribed in a circle of radius 4 cm find the area of the shaded region
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
9.83 cm^2
Step-by-step explanation:
Given = radius of circle = 4 cm
To find : Area of ∆
Proof = Area of eq ∆ in circle = 1/2 × 3√3 r^2
Area = 1/2 ×3√3×4×4
Area = 12√3 cm ^2
Hence, area is 12√3 cm ^2
Area of shaded region = area of circle - area of triangle.
area of shaded region = 1/3 ×[50-28-12√3]
= 1/3 [ 50-28-20.78]
= 9.83 cm^2
Hence, area of shaded region is 9.83 cm^2
I HOPE IT WILL HELP YOU
Step-by-step explanation: