The length of the arc in front of an angle at the center of a circle o

1.	The length of the arc in front of an angle at the center of a circle of radius 14 cm is 11 cm. What is the measure of that perceived centroid angle? [Use π = 22/7]1. 60°2. 45°3. 75°4. 30°
Answer» Correct Answer - Option 2 : 45° Given: Length of arc = 11 cm Radius of circle = 14 cm Concept used: The measure of the arc of length L, subtended by the angle θ, of the circle of radius r is: L = (θ/360) × 2πr Calculation: 11 = (θ/360) × 2 × (22/7) × 14 θ = 360/8 = 45° ∴ The value of θ is 45°.

The length of the arc in front of an angle at the center of a circle of radius 14 cm is 11 cm. What is the measure of that perceived centroid angle? [Use π = 22/7]1. 60°2. 45°3. 75°4. 30°

Answer» Correct Answer - Option 2 : 45°

Given:

Length of arc = 11 cm

Radius of circle = 14 cm

Concept used:

The measure of the arc of length L, subtended by the angle θ, of the circle of radius r is:

L = (θ/360) × 2πr

Calculation:

11 = (θ/360) × 2 × (22/7) × 14

θ = 360/8 = 45°

∴ The value of θ is 45°.

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The length of the arc in front of an angle at the center of a circle of radius 14 cm is 11 cm. What is the measure of that perceived centroid angle? [Use π = 22/7]1. 60°2. 45°3. 75°4. 30°

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