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 Fig. 54. What is the total length of such a spiral made up to thirteen consecutive semicircles ? (Take `pi = (22)/(7)`)

Text Solution

Verified by Experts

The correct Answer is:

143

Topper's Solved these Questions

ARITHMETIC PROGRESSION
SUBHASH PUBLICATION|Exercise Exericise 1.2|26 Videos
AREAS RELATED TO CIRCLES
SUBHASH PUBLICATION|Exercise EXERCISE 5.3|18 Videos
CIRCLES
SUBHASH PUBLICATION|Exercise EXERCISE 4.2|13 Videos

Similar Questions

Explore conceptually related problems

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig. 5.23. Find the area of the remaining portion of the square.

A point charge of 2.0 mu c is at the centre of a cubic gaussian surface 9.0 cm on edge what is the net electric flux through the surface

A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil?

A solenoid of length 0.5 m has a radius of 1 cm and is made up of 500 turns. It carries a current of 5 A. What is the magnitude of the magnetic field inside the solenoid?

From a circular card sheet of radius 14cm, two circles of radius 3.5cm and a rectangle of length 3cm and breadth 1cm are removed (as shown in the adjoining figure. Find the area of the remaining sheet. (Take pi=22/7 )

Two circular dises of radii 4.5 cm and 2 cm are fixed to astring of length 10 cm as shown.Then the diameter of another disc which touches the circular dises at P and Q is:

Draw a circle of radius 2 cm with centre O and take a point P outside the circle such that OP = 4.5 cm. From P, draw two tangents to the circle. Given below are the steps of constructing the tangents from P. Find which of the following steps is wrong. Step 1: Draw a circle with O as centre and radius 2 cm. Step 2: Mark a point P outside the circle such that OP = 4.5 cm. Step 3: Join OP and bisect it at M. Step 4: Draw a circle with P as centre and radius = MP to intersect the given circle .at the points R and Q. Step 5: Join PR and PQ.

SUBHASH PUBLICATION-ARITHMETIC PROGRESSION-Exericise 1.3

In an AP : given d = 5, S(9) = 75, find a and a(9).
Text Solution
|
In an AP : given a = 2, d = 8, S(n) = 90, find a and a(n).
Text Solution
|
In an AP : given a = 8, a(n) = 62, S(n) = 210, find n and d.
Text Solution
|
In an AP : given a(n) = 4, d = 2, S(n) = -14, find n and a.
Text Solution
|
In an AP : given a = 3, n = 8, S(n) = 192, find d.
Text Solution
|
In an AP : given l = 28, s = 144 and there are total 9 terms find a...
Text Solution
|
How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...
Text Solution
|
The first of an A.P is 5, the last term is 45 and the sum is 400. Find...
Text Solution
|
The first and the last terms of an A.P are 17 and 350 respectively. If...
Text Solution
|
Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...
Text Solution
|
Find the sum of first 51 terms of an A.P whose second and third terms ...
Text Solution
|
If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...
Text Solution
|
Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...
Text Solution
|
Find the sum of the odd numbers between 0 and 50.
Text Solution
|
A contract on construction job specific a penalty for delay of complet...
Text Solution
|
A sum of Rs. 700 to be used to give seven cash prizes to students of a...
Text Solution
|
In a scholl students thought of planting trees in and around the schoo...
Text Solution
|
A spiral is made up of successive semicircles, with centres alternatel...
Text Solution
|
200 logs are stacked in the following manner : 20 logs in the bottom r...
Text Solution
|
In a potato race, a bucket is placed at the starting point, which is 5...
Text Solution
|