Introduction to Arc length circumference:
Arc length circumference article deals with the definition of arc length and circumference of the circle and the Arc Length Formula and circumference of the circle
Definition of Arc length:
Arc length is a part of the circumference of the circle. The arc length of the circle depends up on the angle of the arc.
Clear Explanation of Arc Length and Circumference of the Circle:
Formula to find the circumference of the circle:
Circumference of the circle =` (2*pi*r)` units.
r is the radius of the circle
Formula to find the arc length the circle:
Length of the arc = `(p /360) (2*pi*r) ` Units.
P is the angle of the arc
r is the radius of the arc.
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Model Problems Related to Arc Length and Circumference of the Circle:
What the circumference of the circle whose radius is 6cm and the angle measure of the arc is 360 degrees?
Solution:
Radius of the arc is 5cm
Angle measure of the circle is 360 degrees, so it is a complete circle
Formula:
Circumference of the circle = ` (2*pi*r)` units.
Here, p is the angle of the arc
r is the radius of arc.
Circumference of the circle= `(360/360) (2*3.14*6)`
= `(3.14 *12)`
= 37.68 cm
Circumference of the arc is 37.7 cm
2.What is the part of the circumference of the circle whose radius is 2cm and the angle measure of the arc is 270 degrees?
Solution:
Radius of the arc is 2cm
Angle measure of the arc is 270 degrees.
Formula:
arc length = `(p /360) (2*pi*r) ` units.
Here, p is the angle of the arc
r is the radius of arc.
Circumference of the arc= `(270/360) (2*3.14*2)`
= (0.75) (3.14 *4)
= 9.42 cm
Circumference of the arc is 9.42 cm
Practice problem:
1. What is the circumference of the circle whose radius is 10cm and the angle measure is 360 degrees?
Answer is 62.8 cm
2. What is the length of arc whose radius is 5cm and the angle measure of the arc is 220 degrees?
Answer is 19.18 cm
Arc length circumference article deals with the definition of arc length and circumference of the circle and the Arc Length Formula and circumference of the circle
Definition of Arc length:
Arc length is a part of the circumference of the circle. The arc length of the circle depends up on the angle of the arc.
Clear Explanation of Arc Length and Circumference of the Circle:
Formula to find the circumference of the circle:
Circumference of the circle =` (2*pi*r)` units.
r is the radius of the circle
Formula to find the arc length the circle:
Length of the arc = `(p /360) (2*pi*r) ` Units.
P is the angle of the arc
r is the radius of the arc.
I am planning to write more post on solve math word problem, dividing rational expressions examples. Keep checking my blog.
Model Problems Related to Arc Length and Circumference of the Circle:
What the circumference of the circle whose radius is 6cm and the angle measure of the arc is 360 degrees?
Solution:
Radius of the arc is 5cm
Angle measure of the circle is 360 degrees, so it is a complete circle
Formula:
Circumference of the circle = ` (2*pi*r)` units.
Here, p is the angle of the arc
r is the radius of arc.
Circumference of the circle= `(360/360) (2*3.14*6)`
= `(3.14 *12)`
= 37.68 cm
Circumference of the arc is 37.7 cm
2.What is the part of the circumference of the circle whose radius is 2cm and the angle measure of the arc is 270 degrees?
Solution:
Radius of the arc is 2cm
Angle measure of the arc is 270 degrees.
Formula:
arc length = `(p /360) (2*pi*r) ` units.
Here, p is the angle of the arc
r is the radius of arc.
Circumference of the arc= `(270/360) (2*3.14*2)`
= (0.75) (3.14 *4)
= 9.42 cm
Circumference of the arc is 9.42 cm
Practice problem:
1. What is the circumference of the circle whose radius is 10cm and the angle measure is 360 degrees?
Answer is 62.8 cm
2. What is the length of arc whose radius is 5cm and the angle measure of the arc is 220 degrees?
Answer is 19.18 cm
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