Question

In the given figure, ABC is a right angled triangle. ABC = 90 deg and ACB = 60 deg. If the radius of the smaller circle is 2 cm, then what is the radius (in cm) of the larger circle?

A) 4 B) 6 C) 4.5 D) 7.5

Answer 1

Answer:

Answer is 6

Step-by-step explanation:

Let see the triangle

Join C to the center of the small circle and the center of the larger circle.

center of the circle = o

Center of the larger circle = O'

Now we see CDO' is a right angled triangle

Angle D = 90

Angle O'CD= 30

Angle O' =60

In Triangle COE

Angle C = 30

So opposite of 30 = 2

OE = 2

then OC =4

O'C = 2R

2R -  (4 +2) = R

2R - 6 = R

R = 6

Answer 2

Step-by-step explanation:

Answer:

Answer is 6

Step-by-step explanation:

Let see the triangle

Join C to the center of the small circle and the center of the larger circle.

center of the circle = o

Center of the larger circle = O'

Now we see CDO' is a right angled triangle

Angle D = 90

Angle O'CD= 30

Angle O' =60

In Triangle COE

Angle C = 30

So opposite of 30 = 2

OE = 2

then OC =4

O'C = 2R

2R -  (4 +2) = R

2R - 6 = R

R = 6