Arcs and Sectors Worksheet
This worksheet focuses on understanding and calculating arc lengths and areas of sectors in circles, suitable for Grade 11 math students.
Includes
Standards
Topics
Arcs and Sectors
Name:
Date:
Score:
Read each question carefully and show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places unless otherwise specified.
1. An arc is a portion of the of a circle.
2. A sector is a region of a circle bounded by two radii and an .
3. The formula for the length of an arc is L = (θ/360°) * .
4. The formula for the area of a sector is A = (θ/360°) * .
1. A circle has a radius of 8 cm. Find the length of an arc subtended by a central angle of 45°.
2. The circumference of a circle is 30π meters. What is the length of an arc with a central angle of 120°?
1. Calculate the area of a sector with a radius of 10 inches and a central angle of 72°.
2. The area of a circle is 64π cm². Find the area of a sector with a central angle of 90°.
1. If the radius of a circle is 6 units and the arc length is 3π units, what is the central angle in degrees?
30°
60°
90°
120°
Refer to the diagram below. The radius of the circle is 5 cm and the central angle of the shaded sector is 100°.
1. Calculate the arc length of the shaded sector.
2. Calculate the area of the shaded sector.
Related Worksheets
Segment Length Practice Worksheet
Grade 11 Math worksheet focusing on calculating and applying segment lengths in various geometric contexts, including number lines, coordinate planes, and geometric figures.
Similar Figures Worksheet
This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
Triangle Sum Theorem Worksheet
A Grade 11 math worksheet focusing on the Triangle Sum Theorem, including various problem types to reinforce understanding of triangle angle properties.
Similar Solids Worksheet - Grade 11 Geometry
Explore the properties of similar solids, including their ratios of corresponding linear measures, areas, and volumes, with these challenging problems.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.