What is the radius of a circle if the equation is $$(x-4)^2+(y+1)^2=25$$ ?

The radius is 5 (since $$r^2 = 25$$ ).

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

The diameter is twice the radius (d = 2r).

How do you find the circumference of a circle with a diameter of 10 cm?

$$C = \pi d = \pi (10) \approx 31.4 cm$$ .

If a sector has a central angle of 60 degrees and a radius of 4 cm, what is its area?

$$A = \frac{60}{360} \times \pi \times 4^2 = \frac{1}{6} \times \pi \times 16 \approx 8.38 cm^2$$ .

What is the formula to find the length of an arc in a circle?

$$L = \frac{Central\ Arc\ Measure\degree}{360\degree} \times 2\pi r$$ .

What is the area of a sector with a central angle of 120 degrees and radius 5 cm?

$$A = \frac{120}{360} \times \pi \times 5^2 = \frac{1}{3} \times \pi \times 25 \approx 26.18 cm^2$$ .

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

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

Unit 6 Part 2: Circles Review for Summative Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a circumference?

Back

Distance around a circle.

2.

FLASHCARD QUESTION

Front

What is the formula for the area of a sector?

Back

3.

FLASHCARD QUESTION

Front

Back

The center of the circle is (3,2).

4.

FLASHCARD QUESTION

Front

How do you calculate the area of a sector with a central angle of 90 degrees and radius 10 cm?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

If the circumference of a circle is 31.4 cm, what is the radius?

Back

7.

FLASHCARD QUESTION

Front

What is the area of a circle with a radius of 7 cm?

Back

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