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Measurement and Data: Angles in Circles 4.MD.5a Facts & Worksheets

An angle is measured with reference to a circle with its center at the common endpoint of the rays by considering the fraction of the circular arc between the points where the two rays intersect the circle.

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Worksheets /Math /Grade 4 (ages 9-10) /Measurement and Data: Angles in Circles 4.MD.5a Facts & Worksheets
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Measurement and Data Angles in Circles 4.MD.5a Worksheets
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An angle is measured with reference to a circle with its center at the common endpoint of the rays by considering the fraction of the circular arc between the points where the two rays intersect the circle.

See the fact file below for more information on the angles in circles or alternatively, you can download our 27-page Angles in Circles worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

  • At the end of the lesson, the student will be able to understand that an angle is basically a measurement in a circular motion.

A NOTE FOR THE TEACHER:

  • When understanding angles in circles, take note of the following:
    • Remember that a full turn of a circle is 360 degrees.
    • Know that a circle can be divided into fractions that correspond to angle measurements.
    • Remember that an angle is part of a whole circle

THEORY:

  • An angle is measured with reference to a circle with its center at the common endpoint of the rays by considering the fraction of the circular arc between the points where the two rays intersect the circle.
  • An angle that turns through 1/360 of a circle is called a “one-degree angle” and can be used to measure angles.
  • In drawing a circle, it is conventionally known as starting from one point and turning 360 degrees back to the starting point.
  • Therefore, a circle consists of angles that have a sum of 360.
  • Consider the right angle.

  • We know that the right angle is equal to 90 degrees.
  • It can also be observed that it is ¼ of a whole circle.
  • Drawing a right angle 4 times will create a circle.

  • Consider a semicircle.

  • A straight line has an angle of 180 degrees.
  • It can also be considered as ½ of a whole circle because it is created by 2 right angles. Drawing two 180 degree angles will have a sum of 360 degrees and create a circle.

  • Lastly, consider ∠ ABC.

  • We can see that it has a value of 120 degrees.
  • However, we can actually produce two angles in the figure.
  • Since an angle is part of a circle, we can say that the other angle outside ∠ABC can be found by subtracting 120 from 360.
  • The larger angle can be computed as 240 degrees.

Measurement and Data: Angles in Circles 4.MD.5a Worksheets

This is a fantastic bundle that includes everything you need to know about Measurement and Data: Angles in Circles across 27 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.MD.5a for Measurement and Data: Angles in Circles.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Link will appear as Measurement and Data: Angles in Circles 4.MD.5a Facts & Worksheets: https://kidskonnect.com - KidsKonnect, May 31, 2021

Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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