if the circumference
mference of a circle increases from 2π to 6π then its area is
Answers
Given - Original circumference - 2π
Increased circumference - 6π
Find - Increased area
Solution - Circumference of circle is represented by the formula - 2πr. Now keeping the values of circumference to calculate r.
2πr = 2π
r = 1
Original radius = 1.
2πr = 6π
r = 3
Increased radius = 3
Area of a circle is calculated by the formula = πr²
Original area will be - π(1)²
Original area will be - π
Increased area will be - π(3)²
Increased area will be - 9π
Therefore new area will be 9π.
Given : circumference of a circle increases from 2π to 6π
To find : area
Solution:
circumference of a circle = 2πr
r = radius of Circle
2πr = 2π
=> r = 1
Area of circle = πr² = π(1)² = π sq unit
circumference of a circle = 6πr
r = radius of Circle
2πr = 6π
=> r = 3
Area of circle = πr² = π(3)² = 9π sq unit
Area increased by 9 times
Learn More:
if numerical value of the circumference and area is given circle are ...
https://brainly.in/question/7142838
find the area of a quadrant of a circle whose circumference id 75 cm ...
https://brainly.in/question/13623350
If ratio of circumference of 2 circles is 3:1 find the ratio of the areas ...
https://brainly.in/question/8158211