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Tenth Grade (Grade 10) Circles Questions

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Grade 10 Circles

Let the measure of arc ED be equal to 135 degrees and the measure of arc BC be equal to 25 degrees what is the measure of angle BAC? Show your work.

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing statement in step 3?

$ang ACD \ \ "is a right angle"$
$ang BAD \ \ "is a right angle"$
$ang ABD \ \ "is a right angle"$
$ang DAC \ \ "is a right angle"$

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing reason in step 8?

Implied by diagram
Intersecting chords create congruent angles
All inscribed angles of the same circle are congruent
Inscribed angles intercepting the same arc are congruent

Grade 10 Circles CCSS: HSG-C.B.5

A circle with a diameter of 20 inches has an arc of 45 degrees. What are the arc length and sector area of that arc? Round to the hundredth place.

Grade 10 Circles CCSS: HSG-C.A.2

Given the circle, assume that AD passes through the center of the circle, AB is tangent to the circle, and

$m ang ADB =35deg$ . Find the measure of

$ang ABD$ .

Grade 10 Circles

If the measure of angle BAC is equal to 30 degrees and the measure of arc BC is equal to 28 degrees, what is the measure of arc ED? Show your work.

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing statement in step 7?

$ang ADC ~= ang BAD$
$ang ACD ~= ang BAD$
$ang ADC ~= ang ABD$
$ang BAD ~= ang BAD$

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing reason in step 10?

Grade 10 Circles CCSS: HSG-C.A.2

Chord AB is 8 inches long and 3 inches away from the center. How big is the radius of the circle? Show your work.

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing reason in step 9?

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing statement in step 6?

$m ang EDB = m ang CED$
$m ang EDB = 1/2 m ang CED$
$m ang CED = m \stackrel{\frown}{EB}$
$m stackrel{\frown}{EB} = 1/2 m \stackrel{\frown}{CD}$

Grade 10 Circles

This question is a part of a group with common instructions. View group »

What is the missing statement in step 2?

Draw center O
$m \stackrel{\frown}{EB} = m \stackrel{\frown}{DC}$
$triangle EBD ~= triangle DCE$
$bar{EB} ~= bar{DC}$

Grade 10 Circles

If the measure of angle BAC is 35 degrees, the measure of arc ED is 125 degrees, and chord EB equals chord CD, what is the measure of arc EB? Show your work.

Grade 10 Circles

If the measure of arc ED is 118 degrees, the measure of arc BC is equal to 32 degrees, and chord EB equals chord DC, what are the measures of arcs EB and DC?

Grade 10 Circles

Assume chords BE and CD are equal in length. What can we tell about the degree measure of Arcs BE and CD respectively?

Grade 10 Circles

If secant AE is 9 cm long, segment AB is 4 cm long and segment AC is 3 cm long, how long is secant AD? Show your work.

Grade 10 Circles

The circumference of a circle is 26

$pi$ inches. Find each of the following:

a) the diameter

b) the radius

c) the length of an arc of 120 degrees.

Grade 10 Circles

The measure of

$angCAB$ is

$26deg$ . What is the measure of arc BC? State if it is a major or minor arc.

Grade 10 Circles

Circles whose radii are congruent are called what?

Grade 10 Circles CCSS: HSG-C.A.4

Construct a tangent to circle A from a point outside of A using a straightedge and compass.

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Tenth Grade (Grade 10) Circles Questions