Given that the circumference of a circle is 22cm, calculate its diameter (take π as 22/7)

9 answers

The formula for finding the circumference of a circle is:

C = πd

where C is the circumference, π is pi (approximately 3.14), and d is the diameter.

In this problem, we are given that the circumference is 22cm, and we are asked to find the diameter. So we can rearrange the formula to solve for d:

d = C/π

Plugging in the given values, we get:

d = 22/ (22/7)
d = 7cm

Therefore, the diameter of the circle is 7cm.
If 45% of a number N is 126. Find N
We can solve this problem using the formula:

Part/Whole = Percent/100

In this problem, we know that 45% of some number N is equal to 126. So, we can set up the equation:

126/N = 45/100

To solve for N, we can cross-multiply:

126 x 100 = 45N

12,600 = 45N

Dividing both sides by 45, we get:

N = 280

Therefore, the number N is 280.
Find the perimeter of a square whose area is 225cm^2
We know that the formula for the area of a square is:

A = s^2

where A is the area and s is the length of one side of the square.

In this problem, we are given that the area is 225cm^2, so we can solve for s:

225 = s^2

Taking the square root of both sides, we get:

s = 15

Therefore, each side of the square is 15cm long.

To find the perimeter, we can use the formula:

P = 4s

where P is the perimeter and s is the length of one side. Substituting 15 for s, we get:

P = 4 x 15

P = 60

Therefore, the perimeter of the square is 60cm.
Find the value of 25% of 6 plus 10
To find the value of 25% of 6, we can multiply 6 by 25% (written as 0.25):

25% of 6 = 0.25 x 6 = 1.5

So 25% of 6 is 1.5.

Adding 10 to 1.5, we get:

1.5 + 10 = 11.5

Therefore, the value of 25% of 6 plus 10 is 11.5.
Evaluate 0.49 * 0.55 * 10^3
Multiplying 0.49 and 0.55 gives:

0.49 * 0.55 = 0.2695

Multiplying the result by 10^3 is equivalent to moving the decimal point three places to the right:

0.2695 * 10^3 = 269.5

Therefore, the value of 0.49 * 0.55 * 10^3 is 269.5.