Math / Geometry

QuestionYou 1
The radius of a circle is 1 yard. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square yards Submit

Studdy Solution

STEP 1

What is this asking? We need to find the area of a circle given its radius. Watch out! Don't forget to use the correct formula and round to the nearest hundredth!

STEP 2

1. Recall the formula
2. Plug and chug

STEP 3

Alright, so we're dealing with a circle here!
And we want to find its area.
The key to unlocking this mystery is the super important formula for the area of a circle: $A = \pi \cdot r^2$ .
Remember, $A$ stands for the area, $\pi$ is our magical mathematical constant (approximately $3.14$ ), and $r$ represents the radius of the circle.

STEP 4

Now, let's plug in the given value for the radius, which is $\text{radius} = 1$ yard.
Substituting $r = 1$ into our formula, we get $A = \pi \cdot (1)^2$ .

STEP 5

Since $(1)^2 = 1 \cdot 1 = 1$ , the formula simplifies to $A = \pi \cdot 1 = \pi$ .

STEP 6

We're told to use $\pi \approx 3.14$ , so our area becomes $A \approx 3.14$ square yards.
Since we're already asked to round to the nearest hundredth, and our approximation of $\pi$ already has two decimal places, we're all set!

STEP 7

The circle's area is approximately 3.14 square yards.

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QuestionYou 1
The radius of a circle is 1 yard. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square yards Submit

Studdy Solution

STEP 1

What is this asking? We need to find the area of a circle given its radius. Watch out! Don't forget to use the correct formula and round to the nearest hundredth!

STEP 2

1. Recall the formula
2. Plug and chug

STEP 3

STEP 4

Now, let's plug in the given value for the radius, which is $\text{radius} = 1$ yard.
Substituting $r = 1$ into our formula, we get $A = \pi \cdot (1)^2$ .

STEP 5

Since $(1)^2 = 1 \cdot 1 = 1$ , the formula simplifies to $A = \pi \cdot 1 = \pi$ .

STEP 6

We're told to use $\pi \approx 3.14$ , so our area becomes $A \approx 3.14$ square yards.
Since we're already asked to round to the nearest hundredth, and our approximation of $\pi$ already has two decimal places, we're all set!

STEP 7

The circle's area is approximately 3.14 square yards.

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QuestionYou 1The radius of a circle is 1 yard. What is the circle's area? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square yards Submit

Studdy Solution

STEP 1

What is this asking? We need to find the area of a circle given its radius. Watch out! Don't forget to use the correct formula and round to the nearest hundredth!

STEP 2

1. Recall the formula2. Plug and chug

STEP 3

STEP 4

Now, let's **plug in** the given value for the radius, which is radius=1\text{radius} = 1radius=1 yard.Substituting r=1r = 1r=1 into our formula, we get A=π⋅(1)2A = \pi \cdot (1)^2A=π⋅(1)2.

STEP 5

Since (1)2=1⋅1=1(1)^2 = 1 \cdot 1 = 1(1)2=1⋅1=1, the formula simplifies to A=π⋅1=πA = \pi \cdot 1 = \piA=π⋅1=π.

STEP 6

We're told to use π≈3.14\pi \approx 3.14π≈3.14, so our **area** becomes A≈3.14A \approx 3.14A≈3.14 square yards.Since we're already asked to round to the nearest hundredth, and our approximation of π\piπ already has two decimal places, we're all set!

STEP 7

The circle's area is approximately **3.14** square yards.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionYou 1
The radius of a circle is 1 yard. What is the circle's area? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square yards Submit

1. Recall the formula
2. Plug and chug

Now, let's plug in the given value for the radius, which is $\text{radius} = 1$ yard.
Substituting $r = 1$ into our formula, we get $A = \pi \cdot (1)^2$ .

Since $(1)^2 = 1 \cdot 1 = 1$ , the formula simplifies to $A = \pi \cdot 1 = \pi$ .

We're told to use $\pi \approx 3.14$ , so our area becomes $A \approx 3.14$ square yards.
Since we're already asked to round to the nearest hundredth, and our approximation of $\pi$ already has two decimal places, we're all set!

The circle's area is approximately 3.14 square yards.