Given that the circumference of a circle is 22cm, calculate its diameter (take π as 22/7)
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.
To calculate the diameter of a circle, you need to know the value of its circumference. The circumference is defined as the distance around the circle. In this case, the given circumference is 22 cm.
The formula to find the circumference of a circle is:
Circumference = π * diameter
We can rearrange this formula to find the diameter of the circle:
diameter = Circumference / π
Given that π is approximated as 22/7, we can substitute the given values into the formula:
diameter = 22 cm / (22/7)
Now, let's simplify the expression by dividing:
diameter = 22 cm * (7/22)
The factor of 22 simplifies, leaving us with:
diameter = 7 cm
Therefore, the diameter of the circle is 7 cm.