Find the length of an arc of a circle of radius 5.6cm which subtends an angle of 60°at the centre of the circle take pie 22 \7
surely you can plug in your numbers
s = rθ
60° = pi/3 (not pie!!)
To find the length of an arc of a circle, you can use the formula:
Arc length = (θ/360) * 2πr
Where:
θ is the angle subtended by the arc at the center of the circle.
r is the radius of the circle.
Given:
θ = 60°
r = 5.6 cm
Substituting the values into the formula:
Arc length = (60/360) * 2 * (22/7) * 5.6 cm
Simplifying:
Arc length = (1/6) * (44/7) * 5.6 cm
Arc length = (22/42) * 5.6 cm
Arc length = (11/21) * 5.6 cm
Arc length ≈ 2.952 cm
Therefore, the length of the arc of the circle is approximately 2.952 cm.
To find the length of an arc of a circle, you can use the formula:
Arc Length = (θ/360) × 2πr
where θ is the angle in degrees and r is the radius of the circle.
Given that the radius is 5.6 cm and the angle is 60°, we can substitute these values into the formula:
Arc Length = (60/360) × 2π × 5.6
Now we need to calculate this expression step by step:
Step 1: Simplify the fraction:
60/360 = 1/6
Step 2: Calculate 2π × 5.6:
2π × 5.6 = 11.2π
Step 3: Substitute the values into the formula:
Arc Length = (1/6) × 11.2π
Step 4: Calculate the result:
Arc Length ≈ (1/6) × 11.2 × 22/7
To simplify the calculations, we can cancel out common factors:
Arc Length ≈ (1/3) × (11.2 × 22)
Arc Length ≈ (1/3) × 246.4
Arc Length ≈ 82.133 cm
Therefore, the length of the arc is approximately equal to 82.133 cm.