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Flashcardizz: Area of a Sector

Flashcardizz: Area of a Sector

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the area of a sector?

Back

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

2.

FLASHCARD QUESTION

Front

What does the term 'sector' refer to in a circle?

Back

A sector is a portion of a circle enclosed by two radii and the arc between them.

3.

FLASHCARD QUESTION

Front

How do you calculate the arc length of a sector?

Back

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

4.

FLASHCARD QUESTION

Front

What is the relationship between the radius and the area of a sector?

Back

The area of a sector increases with the square of the radius.

5.

FLASHCARD QUESTION

Front

If the radius of a circle is 7 cm, what is the area of a sector with a 90-degree angle?

Back

Area = (90/360) × π(7)² = 38.48 cm².

6.

FLASHCARD QUESTION

Front

What is the significance of the angle in calculating the area of a sector?

Back

The angle determines the proportion of the circle that the sector represents.

7.

FLASHCARD QUESTION

Front

What is the area of a sector with a radius of 5 cm and an angle of 60 degrees?

Back

Area = (60/360) × π(5)² = 13.09 cm².

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