Bissoy.com
Doctors Medicines MCQs Q&A

Two circles touch internally. Their diameters are, respectively, 8 cm and 4 cm. What is the distance (in cm) between their centres?

Two circles touch internally. Their diameters are, respectively, 8 cm and 4 cm. What is the distance (in cm) between their centres? Correct Answer 2

Given:

D1 = 8 cm, R1 = 4 cm 

D2 = 4 cm, R2 = 2 cm 

Calculation:

Distance between the centres = R1 - R2 = 4 - 2 = 2 cm 

∴ The required distance = 2 cm 

Related Questions

Two circles touch internally. The sum of their areas is 136π cm2 and distance between their centres is 4 cm. What are the radii of the circles?
PA and PB are two tangents drawn to two circles of radius 3 cm and 5 cm respectively. PA touches the smaller and larger circles at points X and U respectively. PB touches the smaller and larger circle at point Y and V respectively. The centres of the smaller and larger circles O and N respectively. If ON = 12 cm, then what is the value (in cm) of PY?
PA and PB are two tangents drawn to two circles of radius 3 cm and 5 cm respectively. PA touches the smaller and larger circles at points X and Y respectively. PB touches the smaller and large circle at point U and V respectively. The centres of the smaller and larger circles O and N respectively. If ON = 12 cm, then what is the value (in cm) of PY?
Two circles touch externally. The sum of their areas is 41π square cm. If the distance between their centres is 9 cm, then what is difference between their diameters ?
Mohan traveled five cities (A, B, C, D and E) starting from home by a car which has a mileage such that the car can travel 10 km in 1 liter petrol. Distance between city A and B is twice the distance between home to city A. Distance between city B and C is thrice the distance between home to city A. Distance between city C and D is 100. Distance between city D and E is 1.5 times than the distance between B and C. Average distance traveled by Mohan was 41 km between five cities. Find how much petrol was needed by Mohan to travel from city B to D.
Two circles touch each other internally. The radius of the smaller circle is 6cm and the distance between the centre of two circles is 3 cm. The radius of the larger circle is
Two circles of diameters r and 2r are cut from a circle. The sum of diameters of small circles is equal to the diameter of big circle. The area of uncut portion is 100 π cm2. What is the diameter of the biggest circle out of the three circles?
Two circles touch externally and sum of their areas is 130π cm2 and the distance between their centres is 14 cm. What is the difference in the radii of the circles?
Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles?
Three circles touch each other externally when the distance between their centres are 4 cm and 5 cm and 6 cm. Find the total radius of three circles.