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In this lesson, we will learn how to identify and use parts of a circle, such as the radius, chord, and diameter, to solve problems.

Q1:

Find the length of π π .

Q2:

Identify all the radii in the following circle:

Q3:

Given that π΄ π΅ = 4 2 c m and πΈ πΆ = 1 0 c m in the two concentric circles shown below, find the length of π΄ πΆ .

Q4:

Suppose π΄ π΅ = 1 3 2 c m , π π· = 4 4 . 5 c m , and π πΈ = 2 6 . 7 c m . What is the length of π΅ π· ?

Q5:

Are all the radii of a circle equal in length?

Q6:

Is the diameter the longest chord in a circle?

Q7:

The length of the radius of a circle is the length of its diameter.

Q8:

What is the name of a chord that passes through the centre of a circle?

Q9:

Which of the following correctly defines a circle?

Q10:

In the given figure, which of the following would represent the chord passing through π΅ and πΆ ?

Q11:

Identify the radii of the circle.

Q12:

Identify the diameter of this circle.

Q13:

Given that π΄ π΅ = 9 3 c m , find the radius to the circle π .

Q14:

If the length of diameter π΄ π΅ of circle π is 158 cm, find the radius of the circle.

Q15:

Determine the diameter of the circle π , given that its radius π΄ π = 4 9 c m .

Q16:

What is the radius of a circle whose diameter is 18?

Q17:

What is the diameter of a circle whose radius is 3?

Q18:

If the diameters of circles and are 2 cm and 6 cm, respectively, determine the length of .

Q19:

Circles π and π are of radii 11 and 18 and touch internally. Determine π π .

Q20:

What is the name for any line segment in a circle whose endpoints intersect the circle?

Q21:

If the length of the longest chord in a circle is 310 cm, what is its radius?

Q22:

Chords π΄ π΅ and πΆ π· meet at πΈ . If the lengths π΄ πΈ , π΅ πΈ , and πΆ π· are 5, 6.4, and 12 respectively, what are the possible values for πΈ πΆ ?

Q23:

Determine the chord(s) of the circle shown below.

Q24:

In the figure, π π΄ = 3 4 c m . Determine the length of πΆ πΈ .

Q25:

What is the longest segment with endpoints on a circle of radius 66.9 cm?

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