Unit 6 Test -4th B

Front

What is the formula for the area of a sector?

Back

The area of a sector is given by the formula: \( A = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the central angle in degrees and \( r \) is the radius.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: \( radians = degrees \times \frac{\pi}{180} \). For example, 45 degrees is \( \frac{\pi}{4} \) radians.

Front

What is the perimeter of a quadrilateral?

Back

The perimeter of a quadrilateral is the sum of the lengths of all four sides. If the sides are labeled as a, b, c, and d, then the perimeter P is given by: \( P = a + b + c + d \).

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle.

Front

What is the relationship between tangent lines and circles?

Back

A tangent line to a circle is a straight line that touches the circle at exactly one point. The tangent line is perpendicular to the radius drawn to the point of tangency.

Front

What is the value of \( \tan(45^\circ) \)?

Back

The value of \( \tan(45^\circ) \) is 1.

Front

How do you find the area of a circle?

Back

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

Front

What is the formula for the circumference of a circle?

Back

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

Front

What is the definition of a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Front

What is the sum of the interior angles of a quadrilateral?

Back

The sum of the interior angles of a quadrilateral is 360 degrees.