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Area and Perimeter•
Circles

Area of Shaded Regions of Circles (with clues) WORKSHEET

Suitable for Grades: Geometry, IM 3
CCSS: HSG.C.B.5
CCSS Description: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

Area of Shaded Regions of Circles (with clues) WORKSHEET DESCRIPTION

Problem solving at its best! We have created two versions, one with a few clues to point your learners in the right direction.

Here students will find the shaded area of different shapes with the help of sectors and segments. Knowledge and use of 1/2abSinC will come in very handy for your learners. Take a look at the preview to see how wonderfully complex some of our designs are.

All answers are to be rounded to 3 significant figures.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Area of Shaded Regions of Circles (with clues) Worksheet suitable for students learning Geometry

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Frequently Asked Questions

Students should be comfortable with calculating areas of sectors and segments since these form the building blocks for finding shaded regions. The formula 1/2abSinC is particularly important as it helps determine areas of triangular portions within the circular shapes, making this suitable for Geometry and IM 3 level students.