Home
Class 10
MATHS
A spiral is made up of successive semici...

A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A, of radii 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm, ... as shown in Figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? (Take `pi= 22/7`)
[Hint : Length of successive semicircles is 11, 12, 13, 14, ... with centres at A, B, A, B, ..., respectively.]

Text Solution

Verified by Experts

The correct Answer is:
143
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    NCERT BANGLISH|Exercise EXERCISE 6.4|4 Videos

  • PROGRESSIONS

    NCERT BANGLISH|Exercise EXERCISE 6.5|7 Videos

  • PROGRESSIONS

    NCERT BANGLISH|Exercise EXERCISE 6.2|17 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise THINK AND DISCUSS|3 Videos

  • QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

AB is the diameter of a semicircle with length of radius 4 cm C is any point on the semicircle. If BC = 2sqrt7 cm then find the length of AC.

A straight conductor of length l m carrying a current 1A is bent in the form of a semicircle. The magnetic field (in tesla) at the centre of the semicircle is-

In the figure, O is the centre of the circle. Find the length of CD, if AB = 5 cm.

The lengths of radii of two circles are 8 cm and 3 cm and the distance between two centres is 13 cm. What is the length of the direct common tangent of two circle?

AB is a chord of a circle with centre at O and radius 13 cm in length If AB = 10cm then find the distance from centre to the chord.

Find in degrees the angle subtended at the centre of a circle of diameter 100cm by an arc of length 22 cm.

A straight conductor of length l m carrying a current I A is bent in the form of a semicirle. The magnetic field (in tesla) at the centre of the semicircle is

Two circles of radii 5.5 cm and 3.3 cm respectively touch each other. What is the distance between their centres?

Find the area of the shaded region in figure, if ABCD is a square of side 7cm . And APD and BPC are semicircles. (usepi=(22)/(7))

If the length of a chord of a circle is 48 cm and the distance of this chord from the centre is 7 cm , then find the length of the chord , the distance of which form the centre is 20 cm.