Area of Sectors Flashcard

Front

What is the formula for calculating the area of a sector?

Back

The area of a sector can be calculated using the formula: A = (θ/360) * π * r², where θ is the angle in degrees and r is the radius.

Front

How do you convert an angle from radians to degrees?

Back

To convert an angle from radians to degrees, multiply the angle in radians by (180/π).

Front

What is the area of a sector with a radius of 10 inches and an angle of 60°?

Back

The area is 52.4 square inches.

Front

What is the area of a sector with a radius of 3 meters and an angle of 150°?

Back

The area is 23.6 square meters.

Front

What is the area of a sector with a radius of 7 km and an angle of 60°?

Back

The area is 51.4 square km.

Front

What is the area of a sector with a radius of 4 cm and an angle of \( \frac{3\pi}{2} \)?

Back

The area is 50.3 square cm.

Front

What is the area of a sector with a radius of 7 miles and an angle of 225°?

Back

The area is 115.5 square miles.

Front

What is the relationship between the angle of a sector and the fraction of the circle it represents?

Back

The angle of a sector represents the fraction of the full circle (360°) that the sector occupies.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.

Front

What is the significance of rounding in area calculations?

Back

Rounding is significant in area calculations to provide a more manageable number, especially when dealing with measurements that may not be exact.