The ratio of the circumferences of two circles is 2:3. If the large circle has a radius of 39 cm, what is the radius of the small circle?
19.5 cm
26 cm
58.5 cm
117 cm

Option B: 26cm is the radius of smaller circle.

Step-by-step explanation:

Given that:

Ratio of circumferences of two circles = 2:3

We know that circumference of circle is given by 2πr.

Radius of larger circle = = 39 cm

Radius of smaller circle =

Now,

Putting radius of larger circle

Therefore,

The radius of smaller circle is 26cm.

Hence,

Option B: 26cm is the radius of smaller circle.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

step-by-step explanation: