Mathematics: What is the diameter of a circle with an area of 113.04 cm²?

What is the diameter of a circle with an area, №12697848, 02.03.2023 17:29

Mathematics

A circle has a diameter of 12 inches. A circle with a diameter of 12 inches. A triangle with base 12 inches and height 6 inches is cut out of the circle. What is the area of the shaded sections? Use 3.14 for Pi and round to the nearest hundredth. 77.04 95.04 113.04 149.04

Step-by-step answer

P Answered by Master

42

A.

Step-by-step explanation:

77.04

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Mathematics

A circle has a diameter of 12 inches. A circle with a diameter of 12 inches. A triangle with base 12 inches and height 6 inches is cut out of the circle. What is the area of the shaded sections? Use 3.14 for Pi and round to the nearest hundredth. 77.04 95.04 113.04 149.04

Step-by-step answer

P Answered by PhD

32

$A=77.04\ in^2$

Step-by-step explanation:

we know that

The area of the shaded sections is equal to the area of the circle minus the area of the triangle

so

$A=\pi r^{2} -\frac{1}{2}(b)(h)$

where

$r=12/2=6\ in$ ----> the radius is half the diameter

$b=12\ in\\h=6\ in$

substitute

$A=(3.14)6^{2} -\frac{1}{2}(12)(6)$

$A=77.04\ in^2$

Mathematics

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters

Step-by-step answer

P Answered by PhD

10

Step-by-step explanation:

area = pi*radius*radius -> Radius = $\sqrt{\frac{area}{pi} }$

area: 63.585 m2

-> radius = $\sqrt{\frac{63.585}{3.14} }$ = 4.5 m

area: 28.26m2

-> radius = $\sqrt{\frac{28.26}{3.14} }$ = 3m

-> diameter = 6m

area: 120.7016m2

-> radius = $\sqrt{\frac{120.7016}{3.14} }$ = 6.2m

-> diameter = 12.4m

area: 12.56m2

-> radius = $\sqrt{\frac{12.56}{3.14} }$ = 2m

area: 482.8064m2

->radius = $\sqrt{\frac{482.8064}{3.14} }$ = 12.4m

area: 113.04 m2

->radius = $\sqrt{\frac{113.04}{3.14} }$ = 6m

Mathematics

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters arrowboth radius: 4.5 meters arrowboth diameter: 6 meters arrowboth radius: 2 meters

Step-by-step answer

P Answered by PhD

21

A) $area=63.585\ m^{2}$ , $r=4.5\ m$

B) $area=28.26\ m^{2}$ , $D=6\ m$

C) $area=120.7016\ m^{2}$ , $D=12.4\ m$

D) $area=12.56\ m^{2}$ , $r=2\ m$

E) $area=482.8064\ m^{2}$ , $r=12.4\ m$

F) $area=113.04\ m^{2}$ , $r=6\ m$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

solve for r

$r=\sqrt{\frac{A}{\pi}}$

Verify each case

case A) $area=63.585\ m^{2}$

substitute in the formula

$r=\sqrt{\frac{63.585}{\pi}}=4.5\ m$

case B) $area=28.26\ m^{2}$

substitute in the formula

$r=\sqrt{\frac{28.26}{\pi}}=3\ m$

the diameter is equal to

$D=2r=2*3=6\ m$

case C) $area=120.7016\ m^{2}$

substitute in the formula

$r=\sqrt{\frac{120.7016}{\pi}}=6.2\ m$

the diameter is equal to

$D=2r=2*6.2=12.4\ m$

case D) $area=12.56\ m^{2}$

substitute in the formula

$r=\sqrt{\frac{12.56}{\pi}}=2\ m$

case E) $area=482.8064\ m^{2}$

substitute in the formula

$r=\sqrt{\frac{482.8064}{\pi}}=12.4\ m$

case F) $area=113.04\ m^{2}$

substitute in the formula

$r=\sqrt{\frac{482.8064}{\pi}}=6\ m$

Mathematics

The diameter of the larger circle is 12.5 cm. the diameter of the smaller circle is 3.5 cm. what is the best approximation for the area of the shaded region? use 3.14 to approximate pi. 28.26 cm² 113.04 cm² 132.27 cm² 254.34 cm² small circle inside big circle, shaded region outside smaller circle and inside larger circle.

Step-by-step answer

P Answered by Specialist

16

Area = 3.14*(12.5^2 - 3.5^2)/4 =113.04

Answer is B

Mathematics

Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your answer as decimals rounded to the nearest hundredth. a. C = 56.52 in, A = 1017.36 in2 b. C = 56.52 in, A = 254.34 in2 c. C = 113.04 in, A = 254.34 in2 d. C = 113.04 in, A = 1017.36 in2 e. None of the above are correct.

Step-by-step answer

P Answered by Specialist

Answer attached

Step-by-step explanation:

Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your

Mathematics

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters

Step-by-step answer

P Answered by PhD

10

Step-by-step explanation:

area = pi*radius*radius -> Radius = $\sqrt{\frac{area}{pi} }$

area: 63.585 m2

-> radius = $\sqrt{\frac{63.585}{3.14} }$ = 4.5 m

area: 28.26m2

-> radius = $\sqrt{\frac{28.26}{3.14} }$ = 3m

-> diameter = 6m

area: 120.7016m2

-> radius = $\sqrt{\frac{120.7016}{3.14} }$ = 6.2m

-> diameter = 12.4m

area: 12.56m2

-> radius = $\sqrt{\frac{12.56}{3.14} }$ = 2m

area: 482.8064m2

->radius = $\sqrt{\frac{482.8064}{3.14} }$ = 12.4m

area: 113.04 m2

->radius = $\sqrt{\frac{113.04}{3.14} }$ = 6m

Mathematics

Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your answer as decimals rounded to the nearest hundredth. a. C = 56.52 in, A = 1017.36 in2 b. C = 56.52 in, A = 254.34 in2 c. C = 113.04 in, A = 254.34 in2 d. C = 113.04 in, A = 1017.36 in2 e. None of the above are correct.

Step-by-step answer

P Answered by Master

Answer attached

Step-by-step explanation:

Mathematics

The diameter of the larger circle is 12.5 cm. the diameter of the smaller circle is 3.5 cm. what is the best approximation for the area of the shaded region? use 3.14 to approximate pi. 28.26 cm² 113.04 cm² 132.27 cm² 254.34 cm² hurry i need !

Step-by-step answer

P Answered by Specialist

81

If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.
The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.

The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.

So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².

Mathematics

Need hurry. the diameter of the larger circle is 12.5 cm. the diameter of the smaller circle is 3.5 cm. what is the best approximation for the area of the shaded region? use 3.14 to approximate pi. 28.26 cm² 113.04 cm² 132.27 cm² 254.34 cm²

Step-by-step answer

P Answered by Specialist

30

113.04, I actually just finished this quiz.

What is the diameter of a circle with an area of 113.04 cm²?

Step-by-step answer

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