Lesson Plans and Worksheets
Browse by Subject
Area of a Circle Teacher Resources
Find Area of a Circle educational ideas and activities
Use this lesson plan to help your geometers develop informal proofs of the circumference and area of a circle. Working in small groups, students rotate between three stations to complete hands-on activities that illustrate the relationships in the circumference and area formulas. The station activities include dissecting a paper plate, rolling a can to measure its circumference, and an exploration of relationships using an online circle tool applet. A reflection sheet is provided for each learner to record observations and information about each station's activity. The lesson plan concludes with learners using their notes to individually write an informal argument for the circumference and area of a circle.
In this Saturn's rings worksheet, learners read about the Spitzer telescope that detected a new ring around Saturn. Students solve 6 problems including determining the formula for the area of a circle, finding the volume of the new ring detected, determining the volume of Earth and calculating how many Earths can fit into the space of the new ring.
Eighth graders investigate how to calculate volume and surface areas of a variety of solid figures. They view and discuss the two-dimensional patterns of three-dimensional objects, discuss the definition of circumference and area of a circle, and solve volume and surface area problems on a worksheet.
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find circumference, diameter and area of circles. They discuss pi as the relationship between the circumference and diameter of a circle and they show the geometric relationship of the area of a circle and the shape of a parallelogram.
Students develop techniques for estimating the area of a circle and use ideas about area and perimeter to solve practical problems. In this area and perimeter lesson, students apply the concepts of perimeter and area to the solution of problem. Students apply formulas where appropriate to identify, measure, and describe circles and the relationships of the radius, diameter, circumference, and area.
Eighth graders examine the process for finding the volumes and surface areas of a number of solid figures. They look at nets of the figures and review how to determine the circumference and area of a circle. In guided practice and independent student practice they use formulas to complete volume and surface area problems.
Students explore the area of a circle. In this area of a circle lesson, students construct a circle and find the length of its' radius. Students plot the length of the radius v. area of the circle of their circle with varying radius length. Students find a quadratic function to model the scatter plot of radius v. area. Students determine the domain and range of their graph.
Seventh graders study the circumference and area of a circle. For this diameter of a circle lesson, 7th graders cut out circles and arrange their circle sections to form a parallelogram. Students then find the area of a parallelogram using the A=bxh formula. Students then find the area of circles with the given radii.