If the budget on education is $50 m out of an annual national budget of$300 m. The sector of a pie chart representing education is

Analyze the question: We need the angle of the pie chart sector for education, given that education gets $50m out of a total of$300m.

Concept: A pie chart is a circle, which has 360°. Each sector's angle is its share of the total multiplied by 360°.

Angle = (Part ÷ Total) × 360°

Solution:

Angle = (50 ÷ 300) × 360°

= (1/6) × 360°

= 60°

Check: The education share is 1/6 of the budget, and 1/6 of a full circle is 60°.

Why the other options are wrong:

• A (16.6°) comes from 50/300 written as about 16.6%. That is a percentage, not an angle.
• C (150°) and D (300°) do not match the 1/6 fraction.

Answer: B (60°)

Tip: For pie chart questions, always simplify the fraction first (50/300 = 1/6), then take that fraction of 360°. Watch out for the trap in option A, where the percentage (16.6%) is offered as if it were the angle.