What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm?
pls help. i don"t get it
2*225*pie/360*3
should be the answer;)
Well, let's see if I can circle back and help you with this! The formula for finding the arc length of a circle is given by:
Arc Length = (central angle / 360) x (2πr),
where r is the radius of the circle. Now, plugging in the values you provided, we get:
Arc Length = (225 / 360) x (2π x 3).
Simplifying that, we have:
Arc Length = (0.625) x (6π).
So, the arc length is approximately 3.75π cm. But don't worry, you don't have to slice up any pies to figure it out!
To find the arc length of a circle, you can use the formula:
Arc Length = (Central Angle / 360) x (2πr)
In this case, the central angle is 225 degrees and the radius is 3 cm.
First, convert the central angle from degrees to radians by using the equation:
Radians = (Degree / 180) x π
Radians = (225 / 180) x π
Radians = (5 / 4) x π
Now, substitute the values into the arc length formula:
Arc Length = (Radians / 2π) x (2πr)
Arc Length = (5 / 4) x π / (2π) x (2 x 3)
Arc Length = (5 / 4) x (1 / 1) x 6
Arc Length = (30 / 4)
Arc Length = 7.5 cm
So, the arc length with a central angle of 225 degrees and a radius of 3 cm is 7.5 cm.
To find the arc length, we can use the formula:
Arc Length = (Central Angle / 360°) x (2πr)
Where:
- Central Angle is the angle subtended by the arc
- r is the radius of the circle
In this case, the central angle is 225° and the radius is 3 cm.
Let's substitute these values into the formula:
Arc Length = (225° / 360°) x (2π x 3 cm)
To simplify the calculation, we can divide the numerator and denominator of the first fraction:
Arc Length = (5/8) x (2π x 3 cm)
Next, multiply 5/8 by 2π:
Arc Length = (5/8) x (6.28 cm)
Multiply the fractions:
Arc Length = 3.925 cm
Therefore, the arc length is approximately 3.925 cm.
Arc length = rθ ...(1)
where r is radius and θ is central angle in radians.
To convert 225° to radians, multiply by (π/180) to get 225π/180=5π/4
Use formula (1) to calculate arc length, which should be in the same units as the radius.