What will happen to the value of the circumference of a circle as the length of the diameter increases?
Table of Contents
- 1 What will happen to the value of the circumference of a circle as the length of the diameter increases?
- 2 What will be the percentage increase in the area of circle whose circumference is increased by 50\%?
- 3 What is the relationship between circumference and area of a circle?
- 4 How much does the circumference increase with every increase in the diameter?
- 5 When the circumference of a circle decreases from 3p to p by what percent does its area decrease?
- 6 How does circumference affect diameter?
- 7 When you increase the length of the radius of a circle by 10\% this increases the area of the circle by what percentage?
What will happen to the value of the circumference of a circle as the length of the diameter increases?
Obviously, as we increase the diameter (or radius) of a circle, the circle gets bigger, and hence, the circumference of the circle also gets bigger. We are led to think that there is therefore some relationship between the circumference and the diameter.
What will be the percentage increase in the area of circle whose circumference is increased by 50\%?
The increase of the area will be 125\%. Given data : The circumference increased by 50\%.
Does the circumference of the circle increase as the diameter increases?
From above relation we can conclude that if the diameter of the circle increases than the circumference of the circle also .
What is the relationship between circumference and area of a circle?
Square the circumference of the circle. Multiply the area by 4π. So, the circumference of the circle squared is equal to four times π times the area.
How much does the circumference increase with every increase in the diameter?
So when you double the radius, the area goes up by 4 times because 2 squared is 4. The area will always go up by the square of how much the radius goes up. By contrast, the circumference will only double — from 12.56 to 25.12 because you do not square the radius (or diameter) — you just multiply it by pi.
What will be the percentage of increase in the area of a circle?
Hence, the percentage increase in the area of the circle is 96\%.
When the circumference of a circle decreases from 3p to p by what percent does its area decrease?
1632 \%
How does circumference affect diameter?
To find the diameter given the circumference, you divide the circumference by pi.
Can the circumference and area of a circle be the same?
r = 2. Hence, only when radius is 2 then circumference and area of the circle can be same.
When you increase the length of the radius of a circle by 10\% this increases the area of the circle by what percentage?
∴ The percentage increase in its area is 21\%.
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