Two circles, each of unit radius, are so drawn that the center of each lies on the circumference of the other. Find the area of the region which is common to both the circles

Answers (1)


Consider the traingle AOB,
ob=0.5 units
ab=1 unit
Rightarrow OA=sqrt1^2-0.5^2=fracsqrt32, units
Total area of the traingles AOB and BOC=fracsqrt34
Area of intersection=2(Area of sector-Area of traingles)
Area of sector ab=frac12r^2angle abc=fracpi3
Rightarrow 2(fracpi3-fracsqrt34)
Rightarrow frac4pi-3sqrt36, sq., units
 

Most Viewed Questions

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions