Two circles of radius 3 cm each is constructed such that centre of each touches the circumference of other as shown in figure. The triangle $A C_{1} C_{2}$ is

Isosceles

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Scalene

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Equilateral

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Right - angled

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C Equilateral
Since the radius of the circle is the same , we have

$A C_{2} = A C_{1} = r$

$C_{1} C_{2}$ = is also equal to radius of the circle

Hence, $A C_{1} = A C_{2} = C_{1} C_{2} = r$

$∴$ The triangle formed is an equilateral triangle.

Suggest Corrections

Similar questions

Q. 2 circles of radius 3 cm each is constructed such that centre of each touches the circumference of other as shown below.

A C_{1} C_{2} is a/an

Three circles each of radius 5 cm is constructed in such a way that the centre of each touches the circumference of other as shown in figure. The length BC is equal to

Three circles each of radius 4 cm is constructed in such a way that the centre of each touches the circumference of other as shown in figure. The figure ABCDEF will be a

Two circle each of radius 4 cm is constructed in such a way that centre of each touches the circumference of other as shown in figure.
$The polygon A C_{1} B C_{2} is a$ _______.

Q. Three circles each of radius r units are drawn inside an equilateral triangle of side a units, such that each circle touches the other two and two sides of the triangle as shown in the figure, (P, Q and R are the centres of the three circles). Then relation between r and a is

Join BYJU'S Learning Program

Two circles of radius 3 cm each is constructed such that centre of each touches the circumference of other as shown in figure. The triangle A C1 C2 is

The correct option is C EquilateralSince the radius of the circle is the same , we have AC2=AC1=r C1 C2 = is also equal to radius of the circle Hence, AC1=AC2=C1 C2=r ∴ The triangle formed is an equilateral triangle.

Two circles of radius 3 cm each is constructed such that centre of each touches the circumference of other as shown in figure. The triangle $A C_{1} C_{2}$ is

The correct option is C Equilateral
Since the radius of the circle is the same , we have

$A C_{2} = A C_{1} = r$

$C_{1} C_{2}$ = is also equal to radius of the circle

Hence, $A C_{1} = A C_{2} = C_{1} C_{2} = r$

$∴$ The triangle formed is an equilateral triangle.