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Area and Perimeter•
Circles

Area of Shaded Regions of Circles 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 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 Worksheet Suitable for High School Students

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Frequently Asked Questions

Students should be comfortable with calculating the area and perimeter of basic shapes before diving into these shaded region challenges. The formula 1/2abSinC for finding the area of triangles will be particularly useful when working with the complex geometric designs featured in these problems. Having a solid foundation in working with sectors and segments of circles is also essential for success.