Q42. Find the circumference and area ... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q42. (page 4)

Find the circumference and area of each circle. Round to nearest tenth.

Short Answer

Expert verified

$\begin{array}{l} Circumferenceofgivencircle C = 50.3 cm \\ Areaofgivencircle A = 201.1 {cm}^{2} \end{array}$

Step by step solution

Step 1. Calculate the radius of the given circle.

In the given circle, observe that the diameter of the circle is 16 cm, so the radius must be half of the diameter, that is,

$\begin{array}{l} r = \frac{d}{2} \\ r = \frac{16}{2} \\ r = 8 cm \end{array}$

Step 2. Formula used.

The circumference and area of a circle of radius r are given by.

$\begin{array}{l} Circumferenceofacircle C = 2 蟺 r \\ Areaofacircle A = 蟺 r^{2} \end{array}$

Step 3. Calculate the circumference of the given circle.

In order to find the circumference of the circle, use the above formula and substitute 8 for r and simplify further as shown below.

$\begin{array}{l} Circumferenceofcircle \\ C = 2 蟺 (8) \\ C = 16 蟺 \\ C = 50.3 cm \end{array}$

Step 4. Calculate the area of the given circle.

In order to find the area of the circle, use the above formula and substitute 8 for r and simplify further as shown below:

$\begin{array}{l} Areaofcircle \\ A = 蟺 r^{2} \\ A = 蟺 {(8)}^{2} \\ A = 64 蟺 \\ A = 201.1 {cm}^{2} \end{array}$

Therefore,

$\begin{array}{l} Circumferenceofgivencircle C = 50.3 cm \\ Areaofgivencircle A = 201.1 {cm}^{2} \end{array}$

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91影视

Find the circumference and area of each circle. Round to nearest tenth.

Short Answer

Step by step solution

Step 1. Calculate the radius of the given circle.

Step 2. Formula used.

Step 3. Calculate the circumference of the given circle.

Step 4. Calculate the area of the given circle.

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