Home
Class 10
MATHS
if three 1 rupee coin can be placed arou...

if three 1 rupee coin can be placed around a 10 paise coins such that each one rupee coin touches the 10 paise coin as well as the other 1 rupees coins, the ratio of the radii of 1 rupee and 10 paise coin is:

Text Solution

Verified by Experts

Let `R` is the radius of 1 rupee coin and `r` is the radius of 10 paise coin.
Let `C_1, C_2, C_3` are the center of each one rupee coin and `C'` is the center of 10 paise coin. Then, `Delta C_1C_2C_3` will be an equilateral triangle with each angle `60^@`.
Please refer to video for the diagram.
From the diagram, we can see that,
`C'C_1 = r+R`
`OC_1 = R`
In `Delta OC_1C'`,
...
Promotional Banner

Similar Questions

Explore conceptually related problems

If three one rupee coins can be placed around a ten-paise coin such that each one rupee coin touches the ten paise coin as well as the other two one-rupee coins,the ratio of the radii of the one rupee and ten paise coin is:

A bag contains one rupee, 50 paise and 25 paise coins. The ratio of the number of 1 rupee coins to that of 50 paise coins is 5 : 9 and the ratio of the number of 50 paise conins to that of 25 paise coins is 2 : 1 . Find the value of the 50 paise coins in the bag if the total value of the bag is Rs. 425.

If m rupee coins and n ten paise coins are placed in a line, then the probability that the extreme coins are ten paise coins, is

In a box,there are a certain number of coins which amount to Rs 25. There are 2 -rupee coins,50 -paise coins and 25 -paise coins.If there are at least one 2 -rupee coin,two 50 - paise coins and two 25 -paise coins,then what could be the minimum number of coins in the box? (a) 12 (b) 14(c) 16(d) 18

If m rupee coins and n ten paise coins are placed in a line,then the probability that the extreme coins are ten paise coins,is

In a bag, the number of one rupee coins is three times the number of two rupees coins. If the worth of the coins is Rs 120, find the number of 1 rupee coins.

One compartment of a purse contains three 25 paise coins and 2 one rupee coins and the other compartment contains two 25 ps. Coins and 3 one rupee coins. The probability of drawing a rupee from the purse is

If 378 coins consist of rupees, 50 paise and 25 paise coins, whose values are in the ratio of 13:11:7, the number of 50 paise coins will be :

It is required to change a rupee coin into 2 paise and 5 paise coins with the total number of coins equal to 26. Find the number of each type of coins

A box contains 280 coins of one rupee , 50 paise and 25 paise .the value of each kind of the coins are in the ratio of 8:4:3 .then the number of 50 Paise coins is :