Arc Length - Hoover

Arc Length - Hoover

Assessment

Flashcard

Mathematics

10th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for finding the arc length of a circle?

Back

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

2.

FLASHCARD QUESTION

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees × (π/180).

3.

FLASHCARD QUESTION

Front

If the radius of a circle is 5 cm and the angle is 60 degrees, what is the arc length?

Back

First, convert 60 degrees to radians: 60 × (π/180) = π/3. Then, use the formula: L = r * θ = 5 * (π/3) = (5π/3) cm.

4.

FLASHCARD QUESTION

Front

What is a minor arc in a circle?

Back

A minor arc is an arc that is smaller than a semicircle, meaning it subtends an angle of less than 180 degrees at the center of the circle.

5.

FLASHCARD QUESTION

Front

What is the relationship between the radius and the arc length?

Back

The arc length is directly proportional to the radius; as the radius increases, the arc length increases for a given angle.

6.

FLASHCARD QUESTION

Front

How do you find the length of a minor arc given the radius and the angle in degrees?

Back

Convert the angle from degrees to radians, then use the formula: L = r * θ.

7.

FLASHCARD QUESTION

Front

What is the measure of a full circle in radians?

Back

A full circle measures 2π radians.

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