Math Drills
Area of Semicircles and Sectors
C-3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / Area of a Circle / Area of Semicircles and Sectors
The ground covered by a shape cut evenly from a circle is found. A semicircle divides one whole circle by 2, a quarter circle takes a central angle of 90 degrees, and a sector takes angles from 30 to 120 degrees into the expression. Calculation carrying a drawing with measurements, and word problems opening from scenes such as a mat or a cookie, stand in equal numbers.
An arc is a length found from the diameter, and it carries no stage multiplying the radius by itself as an area does. Because a sector brings questions asking for the area and questions asking for the length of the arc, papers appear that put the same expression to both. The unit on the answer parts there too.
To Area of a Circle (Basics), which produced one whole circle as it stood, the share of a central angle has been added. Adding and subtracting the parts found here into one shape carries over into Composite Figures (Addition and Subtraction).
- Semicircle (Word Problems)2 questions
- Quarter Circle (Word Problems)2 questions
- Sector (Word Problems)2 questions
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Problems and answers on this worksheet
These are the problems in “Area of a Circle”, shown with their answers.
(1)Find the area of a semicircular flower bed with a radius of 9cm. Answer □
Answer: 127.17cm²
(2)Find the area of a semicircular rug with a radius of 3cm. Answer □
Answer: 14.13cm²
(3)Find the area of the painting, a quarter circle with a radius of 8cm. Answer □
Answer: 50.24cm²
(4)Find the area of the brooch, a quarter circle with a radius of 2cm. Answer □
Answer: 3.14cm²
(5)Find the arc length of a sector with a radius of 6cm and a central angle of 120°. Answer □
Answer: 12.56cm
(6)Find the area of a sector with a radius of 9cm and a central angle of 120°. Answer □
Answer: 84.78cm²
What to do next
More worksheets in this unit
3Area of a Circle (Basics) Finding the Area
3Area of a Circle (Basics) Word Problems
3Area of Semicircles and Sectors Finding the Area
3Area of Semicircles and Sectors Finding the Area (Various Angles)
3Composite Figures (Addition and Subtraction) Finding the Area (Rectangle − Semicircle and More)
3Composite Figures (Addition and Subtraction) Finding the Area (Donut Shape and More)
3Composite Figures (Overlap and Difference) Finding the Area (Leaf and Clover Shapes)
3Composite Figures (Overlap and Difference) Finding the Area (Crescent and Inscribed Shapes)
3Composite Figures (Overlap and Difference) Finding the Area (Petal and Teardrop Shapes)