Equal circles touching each other with centres at polygon vertices: area enclosed
This type of question, asked 4 times: CDS 1 2017, CDS 1 2020, CDS 2 2020, CDS 1 2022. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2017
78Three circles each of radius 3.5 cm touch one another. The area subtended between them isTap an option to check your answer.
Question 2
CDS 1 2020
91What is the area of the shaded region in the given figure, if the radius of each of the circles is 2 cm ?Tap an option to check your answer.
Question 3
CDS 2 2020
88Four circular coins of equal radius are placed with their centres coinciding with four vertices of a square. Each coin touches two other coins. If the uncovered area of the square is , then what is the radius of each coin ? (Assume )Tap an option to check your answer.
Question 4
CDS 1 2022
18What is the area of the region enclosed by three identical circles (each of radius 4 cm) touching each other?Tap an option to check your answer.