Topics
12. Circles
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United States of AmericaVA
Geometry

12.02 Measures of arcs

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the following diagram. Find $x$x.

A circle has its center point F marked as a solid dot. The radii GF, HF, and JF formed three adjacent angles at point F. The angle(GFH) measures 100 degrees and is marked with a double blue arc. The angle(HFJ) is a right angle as indicated by a small green-shaded square. The angle(GFJ) is labeled x degrees and marked with a single blue arc. Point L is marked as a solid on the circumference of the circle between points G and J.

Medium
1 min

$\overline{GJ}$GJ is a diameter of circle $K$K. Which of the following describes arc $GLH$GLH?

Medium
< 1 min

Consider the circle below, centered at P, in which $\overline{AB}$AB is a diameter.

Medium
1 min
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Outcomes

G.PC.3

The student will solve problems, including those in context, by applying properties of circles.

G.PC.3b

Solve for arc measures and angles in a circle formed by central angles.

G.PC.3c

Solve for arc measures and angles in a circle involving inscribed angles.

G.PC.3f

Apply arc length or sector area to solve for an unknown measurement of the circle including the radius, diameter, arc measure, central angle, arc length, or sector area.

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