Area of a Sector Reteach

Front

What is the formula for the area of a sector?

Back

Area = (θ/360) × πr², where θ is the angle in degrees and r is the radius.

Front

If the radius of a circle is 5 cm, what is the area of the sector with a central angle of 60 degrees?

Back

Area = (60/360) × π(5)² = (1/6) × 25π ≈ 13.1 cm².

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × Radius.

Front

How do you convert the area of a sector from cm² to m²?

Back

Divide the area in cm² by 10,000.

Front

What is the area of a sector with a radius of 10 cm and a central angle of 90 degrees?

Back

Area = (90/360) × π(10)² = (1/4) × 100π ≈ 78.5 cm².

Front

If a sector has an area of 15.4 m², what could be the possible radius if the angle is 90 degrees?

Back

Area = (90/360) × πr²; r ≈ 7.73 m.

Front

What is the significance of rounding answers in area calculations?

Back

Rounding provides a simpler, more manageable number while maintaining reasonable accuracy.

Front

How do you find the area of a sector if the angle is given in radians?

Back

Area = (θ/2) × r², where θ is the angle in radians.

Front

What is the area of a sector with a radius of 4 cm and a central angle of 180 degrees?

Back

Area = (180/360) × π(4)² = (1/2) × 16π ≈ 25.1 cm².

Front

What is the area of a sector with a radius of 3 m and a central angle of 120 degrees?

Back

Area = (120/360) × π(3)² = (1/3) × 9π ≈ 9.4 m².