Arc Length and Sector Area

Arc Length and Sector Area

Assessment

Flashcard

Mathematics

10th Grade

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 the area of a circle?

Back

A = πr², where A is the area and r is the radius.

2.

FLASHCARD QUESTION

Front

How do you calculate the area of a sector of a circle?

Back

Area of sector = (θ/360) × πr², where θ is the central angle in degrees.

3.

FLASHCARD QUESTION

Front

What is the formula for arc length?

Back

Arc length = (θ/360) × 2πr, where θ is the central angle in degrees.

4.

FLASHCARD QUESTION

Front

If a pizza has a diameter of 14 inches, what is its radius?

Back

Radius = diameter/2 = 14/2 = 7 inches.

5.

FLASHCARD QUESTION

Front

How many degrees are in a full circle?

Back

There are 360 degrees in a full circle.

6.

FLASHCARD QUESTION

Front

What is the area of a sector with a central angle of 90° and a radius of 10 inches?

Back

Area = (90/360) × π(10)² = 25π ≈ 78.54 in².

7.

FLASHCARD QUESTION

Front

What is the area of a sector with a central angle of 180° and a radius of 5 inches?

Back

Area = (180/360) × π(5)² = 12.5π ≈ 39.27 in².

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