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2 years ago

The area of a circle is 9pi cm². Find its radius. Please do this question with full solution:)

Mathematics

1 answer:

kirill115 [55]2 years ago

3 0

Answer:

3 cm

Step-by-step explanation:

The formula for the area of a circle is:

$A = \pi r^2$

Where "r" represents the radius of the circle. We can substitute the given value for Area into the equation to solve for the radius.

<h3>Solve for Radius</h3>

$A=\pi r^2\\9\pi = \pi r^2$

Divide both sides by π

$9=r^2$

Take the square root of both sides

$\sqrt9=\sqrt {r^2}\\r=3$

The radius of the circle is 3 cm.

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Question 4) Identify the surface area of the composite figure.

nignag [31]

The surface area of the composite figure is 714 sq. in.

<h3>What is formula of surface area of cube ?</h3>

Let, a be the edge of the cube.

Then, surface area of the cube = 6a² square unit

<h3>What is formula of surface area of cuboid ?</h3>

Let, length of the cuboid = l unit

Width of the cuboid = w unit

Height of the cuboid = h unit

Then, surface area of the cuboid = 2(lw+lh+hw) square unit

<h3>What is the required surface area ?</h3>

Given, edge of cube = 4 in.

∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.

Now, given, length of cuboid = 15 in.

Width of the cuboid = 10 in. & height of the cuboid = 7 in.

∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.

= 2{150+105+70} sq. in.

= 2{325} sq. in. = 650 sq. in.

Here, we have to find the surface area of the composite figure.

We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.

So, we have to subtract 2(4×4) sq. in. = 32 sq. in.

∴ The surface area of the composite figure = (650+96-32) sq. in.

= 714 sq. in.

Learn more about composite figure here :

brainly.com/question/27915109

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5 0

2 years ago

A crew of highway workers paved 12 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?

ratelena [41]

Answer:

0.857 miles in 1 hour

Step-by-step explanation:

It is given that,

A crew of highway workers paved 12 mile in 14 hour.

We need to find how much will they pave in 1 hour if they work at the same rate.

14 hours = 12 miles

To find how much they pave in 1 hour, we must divide 12 by 14 as follows :

$1\ \text{hour}=\dfrac{12}{14}\ \text{miles}\\\\=0.857\ \text{miles}$

Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.

8 0

3 years ago

Mr quark drove his car 314 m. in 6.5 hrs. he used 12.7 gals. of gas.find these rates gallons per mi.

miskamm [114]

Answer:

24.7 miles takes 1 gallon of gas

Step-by-step explanation:

314÷12.7=24.724409 which gets rounded to 24.7

8 0

3 years ago

Catherine works a hourly rate of $22.50 and earns double when she works overtime she works 40 regular hours and 12 hours overtim

Zielflug [23.3K]

So it starts by 22.50 regularly so she worked 40 regular hours so $22.50 * 40h= $900 and in over time she gets double for working over time so $22.50 * 2 = $45 and she worked 12 hours so 12h * $45 = $540 then we need to add those two numbers up 900 + $540 = $1,440 is our answer/outcome.

5 0

3 years ago

One lap around the school is 5/8 mile. Carin ran 3 1/2 laps. How far did she run.

Stells [14]

Use the distance of 1 lap to multiply the number of laps ran

3 0

3 years ago

The area of a circle is 9pi cm². Find its radius. Please do this question with full solution:)​

The area of a circle is 9pi cm². Find its radius. Please do this question with full solution:)