Q76. GEOMETRY The area of the circle ... [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 9: Q76. (page 535)

GEOMETRY The area of the circle is $36 蟺$ square units. If the radius is doubled, what is the area of the new circle?
$F 72 蟺 {units}^{2} G 144 蟺 {units}^{2} H 1296 蟺 {units}^{2} J 9 蟺 {units}^{2}$

Short Answer

Expert verified

The area of a new circle is $144 蟺 {units}^{2}$ .

Step by step solution

Step 1. Write formula for area of circle.

The area of circle is given by $A = 蟺 r^{2}$ .

Step 2. Substitute.

Substitute $36 蟺$ for A in $A = 蟺 r^{2}$ .

$\begin{matrix} 36 蟺 = 蟺 r^{2} \\ 36 = r^{2} \\ 6 = r \end{matrix}$

Therefore, the radius of the circle is 6 units.

Step 3. Find the area of new circle.

If the radius of circle is doubled, the new radius is 12 units. Therefore, area of a new circle is

$A = 蟺 {(12)}^{2} = 144 蟺 u n i t s^{2}$

Therefore, option G is the required answer.

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91影视

GEOMETRY The area of the circle is $36 蟺$ square units. If the radius is doubled, what is the area of the new circle?
$F 72 蟺 {units}^{2} G 144 蟺 {units}^{2} H 1296 蟺 {units}^{2} J 9 蟺 {units}^{2}$

Short Answer

Step by step solution

Step 1. Write formula for area of circle.

Step 2. Substitute.

Step 3. Find the area of new circle.

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91影视

GEOMETRY The area of the circle is36蟺 square units. If the radius is doubled, what is the area of the new circle?F72蟺units2G144蟺units2H1296蟺units2J9蟺units2

Short Answer

Step by step solution

Step 1. Write formula for area of circle.

Step 2. Substitute.

Step 3. Find the area of new circle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

GEOMETRY The area of the circle is $36 蟺$ square units. If the radius is doubled, what is the area of the new circle?
$F 72 蟺 {units}^{2} G 144 蟺 {units}^{2} H 1296 蟺 {units}^{2} J 9 蟺 {units}^{2}$