Word problems for an arc’s length and sector’s area worksheet

A circle is one of the most basic shapes in our world. As basic as a circle may seem but it has multiple complex parts with equally complex properties. Examples of these parts are an arc and a sector. On this worksheet, you will be exposed to these two parts of a circle and how their properties are determined.

What is the “Word problems for an arc’s length and sector’s area worksheet”?

This worksheet introduces what an arc and a sector are to the learner. It uses the learner’s existing knowledge of circles and their parts as well as common knowledge to try and solve word problems involving arcs and sectors.

How will the “Adding, Subtracting, and Multiplying Polynomials worksheet” help you?

This worksheet will walk you through the properties and formulas related to an arc and to a sector. It will give the learner step by step process on how to approach any worded problem related to the arcs and sectors. It familiarizes you with calculating an arc’s length and a sector’s area by having you solve multiple exercise problems.

Instructions on how to use the “Word problems for an arc’s length and sector’s area worksheet”

Use this worksheet as an introductory lesson for the definition of an arc and a sector. The learner is given a visual illustration of the parts of the circles and how they are used to solve for the length of an arc or the area of a sector.

At the end of the worksheet, the learner will reflect on the learnings from this worksheet and come up with scenarios in which the concepts discussed can be useful in real-world scenarios.

In addition, the learner is asked to discuss which part of the concept discussed is the hardest and the easiest. This will give the learner insights into which area to focus on.


The properties of both sector and arc are calculated using different parts and properties of a circle. Although worded problems are different from each other, they can still be tackled using a generic procedure with some context reading to get more information about the problem that is not given directly. 

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