Arc Length and Sector Area

Arc Length and Sector Area

Assessment

Flashcard

Mathematics

7th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

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

Back

Arc Length = (θ/360) × 2πr, where θ is the angle in degrees and r is the radius.

2.

FLASHCARD QUESTION

Front

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

Back

Area of Sector = (θ/360) × πr², where θ is the angle in degrees and r is the radius.

3.

FLASHCARD QUESTION

Front

If a circle has a radius of 10 feet and a central angle of 90 degrees, what is the length of the arc?

Back

Arc Length = (90/360) × 2π(10) = 15.7 feet.

4.

FLASHCARD QUESTION

Front

What is the relationship between the radius and the diameter of a circle?

Back

Diameter = 2 × Radius.

5.

FLASHCARD QUESTION

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180).

6.

FLASHCARD QUESTION

Front

What is the circumference of a circle with a radius of 7 feet?

Back

Circumference = 2π(7) = 43.98 feet.

7.

FLASHCARD QUESTION

Front

What is the area of a circle with a radius of 5 inches?

Back

Area = π(5)² = 78.54 in².

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