Area & Arc Lengths Assessment Test

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1/10 Questions

How many degrees does a circle have?
- 90
- 360
- 270
- 400

About This Quiz

Take our assessment test to assess your knowledge of area and arc lengths using calculus, a mathematical topic with formulas and calculations. Challenge yourself!

Area & ARC Lengths Assessment Test - Quiz

2.

Any portion, other than the entire curve of the circumference of a circle is the...
- Arc
- Shade
- Point
- Pole
Correct Answer

A. Arc

Explanation

The correct answer is Arc. An arc is any portion of the circumference of a circle. It is a curved line that connects two points on the circumference of a circle. Unlike a full circle, an arc does not complete the entire circumference. It can be a small or large portion of the circle, depending on the points it connects.

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1
3.

The arc measure of the central angle of an entire circle is...
- 360
- 270
- 100
- 50
Correct Answer

A. 360

Explanation

The arc measure of the central angle of an entire circle is 360 degrees. This is because a circle is defined as having 360 degrees in total. Therefore, the central angle, which spans the entire circle, will also have a measure of 360 degrees.

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4.

The radian measure of the central angle of an entire circle is...
- 2pi
- 1pi
- 1
- Pi
Correct Answer

A. 2pi

Explanation

The radian measure of the central angle of an entire circle is 2pi because a full circle is divided into 360 degrees, and each degree is equal to pi/180 radians. Therefore, multiplying 360 degrees by pi/180 radians per degree gives us 2pi radians.

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2
5.

What is the circumference of a circle?
- Radius
- 2pi
- Pi
- 2×pi×radius
Correct Answer

A. 2×pi×radius

Explanation

The circumference of a circle is the distance around its outer edge. It can be calculated by multiplying the diameter of the circle by pi (π), which is approximately 3.14159. The given answer, 2×pi×radius, is the formula for finding the circumference of a circle using the radius. It is derived from the fact that the diameter of a circle is twice the radius. Therefore, multiplying the radius by 2 and then by pi gives us the circumference of the circle.

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6.

The distance from the center to circumference of a circle is the...
- Length
- Radius
- Arc
- Diameter
Correct Answer

A. Radius

Explanation

The distance from the center to the circumference of a circle is known as the radius. The radius is a line segment that connects the center of the circle to any point on its circumference. It is a fundamental measurement in geometry and is used to calculate various properties of a circle, such as its area and circumference.

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7.

The central angle that subtends an arc length of one radius is...
- One radian
- Two radian
- 2pi
- Pi
Correct Answer

A. One radian

Explanation

A central angle that subtends an arc length of one radius is defined as one radian. In a circle, the circumference is equal to 2π times the radius. Therefore, if the arc length is equal to the radius, it means that the angle formed by that arc is equal to one radian.

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8.

A straight line segment whose endpoints both lie on the circle is called...
- Angle
- Point
- Dot
- Chord
Correct Answer

A. Chord

Explanation

A straight line segment whose endpoints both lie on the circle is called a chord.

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9.

An arc of a circle having measure greater than or equal to radians is...
- Radius
- Major arc
- Arc length
- Diameter
Correct Answer

A. Major arc

Explanation

A major arc is an arc of a circle that measures greater than or equal to radians. It is called a major arc because it covers a larger portion of the circumference compared to a minor arc. The measure of a major arc is equal to the measure of the central angle that intercepts it. Therefore, a major arc is the correct answer in this case.

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10.

What is the standard unit of angular measure?
- Radian
- Degree
- Cm
- Meters
Correct Answer

A. Radian

Explanation

The standard unit of angular measure is the radian. It is used to measure angles in a circle, where one radian is equal to the angle subtended by an arc that is equal in length to the radius of the circle. The radian is widely used in mathematics and physics because it simplifies calculations involving angles and trigonometric functions. Degree, cm, and meters are not standard units of angular measure and are used to measure other quantities such as length.

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