Math / Geometry

QuestionQuestion
The diameter of a circle is 3 in . Find its area to the nearest hundredth.
Answer Attempt 1 out of 2 $A=$ $\square$ in $^{2}$ Submit Answer

Studdy Solution

STEP 1

1. The diameter of the circle is given as 3 inches.
2. The radius of the circle is half of its diameter.
3. The area of a circle is calculated using the formula $A = \pi r^2$ , where $r$ is the radius of the circle.
4. The value of $\pi$ is approximately 3.14159.
5. The final answer should be rounded to the nearest hundredth.

STEP 2

1. Calculate the radius of the circle.
2. Use the formula for the area of a circle to find the area.
3. Round the area to the nearest hundredth.

STEP 3

Calculate the radius of the circle by dividing the diameter by 2.
$r = \frac{d}{2} = \frac{3}{2} = 1.5 \text{ inches}$

STEP 4

Use the formula $A = \pi r^2$ to calculate the area of the circle.
$A = \pi (1.5)^2$

STEP 5

Square the radius and multiply by $\pi$ .
$A = \pi \times 2.25$

STEP 6

Approximate the value of $\pi$ as 3.14159 and calculate the area.
$A = 3.14159 \times 2.25 \approx 7.0685775$

STEP 7

Round the area to the nearest hundredth.
$A \approx 7.07 \text{ in}^2$
Solution: The area of the circle to the nearest hundredth is $A \approx 7.07 \text{ in}^2$ .

Was this helpful?

QuestionQuestion
The diameter of a circle is 3 in . Find its area to the nearest hundredth.
Answer Attempt 1 out of 2 $A=$ $\square$ in $^{2}$ Submit Answer

Studdy Solution

STEP 1

STEP 2

1. Calculate the radius of the circle.
2. Use the formula for the area of a circle to find the area.
3. Round the area to the nearest hundredth.

STEP 3

Calculate the radius of the circle by dividing the diameter by 2.
$r = \frac{d}{2} = \frac{3}{2} = 1.5 \text{ inches}$

STEP 4

Use the formula $A = \pi r^2$ to calculate the area of the circle.
$A = \pi (1.5)^2$

STEP 5

Square the radius and multiply by $\pi$ .
$A = \pi \times 2.25$

STEP 6

Approximate the value of $\pi$ as 3.14159 and calculate the area.
$A = 3.14159 \times 2.25 \approx 7.0685775$

STEP 7

Round the area to the nearest hundredth.
$A \approx 7.07 \text{ in}^2$
Solution: The area of the circle to the nearest hundredth is $A \approx 7.07 \text{ in}^2$ .

Get Studdy

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.

QuestionQuestionThe diameter of a circle is 3 in . Find its area to the nearest hundredth.Answer Attempt 1 out of 2 A=A=A= □\square□ in 2^{2}2 Submit Answer

Studdy Solution

STEP 1

STEP 2

1. Calculate the radius of the circle.2. Use the formula for the area of a circle to find the area.3. Round the area to the nearest hundredth.

STEP 3

Calculate the radius of the circle by dividing the diameter by 2.r=d2=32=1.5 inches r = \frac{d}{2} = \frac{3}{2} = 1.5 \text{ inches} r=2d​=23​=1.5 inches

STEP 4

Use the formula A=πr2 A = \pi r^2 A=πr2 to calculate the area of the circle.A=π(1.5)2 A = \pi (1.5)^2 A=π(1.5)2

STEP 5

Square the radius and multiply by π \pi π.A=π×2.25 A = \pi \times 2.25 A=π×2.25

STEP 6

Approximate the value of π \pi π as 3.14159 and calculate the area.A=3.14159×2.25≈7.0685775 A = 3.14159 \times 2.25 \approx 7.0685775 A=3.14159×2.25≈7.0685775

STEP 7

Round the area to the nearest hundredth.A≈7.07 in2 A \approx 7.07 \text{ in}^2 A≈7.07 in2Solution: The area of the circle to the nearest hundredth is A≈7.07 in2 A \approx 7.07 \text{ in}^2 A≈7.07 in2.

Get Studdy

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.

QuestionQuestion
The diameter of a circle is 3 in . Find its area to the nearest hundredth.
Answer Attempt 1 out of 2 $A=$ $\square$ in $^{2}$ Submit Answer

1. Calculate the radius of the circle.
2. Use the formula for the area of a circle to find the area.
3. Round the area to the nearest hundredth.

Calculate the radius of the circle by dividing the diameter by 2.
$r = \frac{d}{2} = \frac{3}{2} = 1.5 \text{ inches}$

Use the formula $A = \pi r^2$ to calculate the area of the circle.
$A = \pi (1.5)^2$

Square the radius and multiply by $\pi$ .
$A = \pi \times 2.25$

Approximate the value of $\pi$ as 3.14159 and calculate the area.
$A = 3.14159 \times 2.25 \approx 7.0685775$

Round the area to the nearest hundredth.
$A \approx 7.07 \text{ in}^2$
Solution: The area of the circle to the nearest hundredth is $A \approx 7.07 \text{ in}^2$ .