11.1 - 11.2 Graded Assignment

Front

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

Back

The area of a sector is given by the formula: \( A = \frac{1}{2} r^2 \theta \), where \( r \) is the radius and \( \theta \) is the angle in radians.

Front

How do you calculate the arc length of a circle?

Back

The arc length \( L \) can be calculated using the formula: \( L = r \theta \), where \( r \) is the radius and \( \theta \) is the angle in radians.

Front

What is the relationship between radians and degrees?

Back

To convert radians to degrees, use the formula: \( \text{degrees} = \text{radians} \times \frac{180}{\pi} \).

Front

What is the value of \( \frac{11\pi}{6} \) radians in degrees?

Back

\( \frac{11\pi}{6} \) radians is equal to 330 degrees.

Front

What is the formula for the area of a circle?

Back

The area \( A \) of a circle is given by the formula: \( A = \pi r^2 \), where \( r \) is the radius.

Front

How do you find the area of a shaded region in a circle?

Back

To find the area of a shaded region, subtract the area of the unshaded part from the total area of the circle.

Front

What is the formula for the circumference of a circle?

Back

The circumference \( C \) of a circle is given by the formula: \( C = 2\pi r \), where \( r \) is the radius.

Front

How do you find the length of an arc in a circle?

Back

The length of an arc can be found using the formula: \( L = \frac{\theta}{360} \times C \), where \( C \) is the circumference of the circle.

Front

What is the approximate area of a sector with a radius of 5 cm and an angle of 60 degrees?

Back

The area of the sector is approximately 13.09 cm².

Front

What is the formula for converting degrees to radians?

Back

To convert degrees to radians, use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \).