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evablogger [386]
3 years ago
7

2. Find the area and circumference of the circle to the right.16.6 m​

Mathematics
2 answers:
adoni [48]3 years ago
7 0

Answer:

AREA:

A=216.42m^2

CIRCUMFERENCE:

C=52.15m

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

A=\pi r^2

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

C=2\pi r

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

r=\frac{16.6m}{2}=8.3m

Substituting the radius, you get that the area and the circumference are:

AREA:

A=\pi (8.3m)^2=216.42m^2

CIRCUMFERENCE:

 C=2\pi (8.3m)=52.15m

SVEN [57.7K]3 years ago
4 0

<u>Answer with step-by-step explanation:</u>

We are given a circle which is divided into two halves and has a diameter of 16.6 meter. We are to find the area and circumference of the circle to the right.

It means that our radius will be the half of the given diameter.

Radius = 16.6/2 = 8.3 m

Area = \pi r^2 = \frac{\pi \times (8.3)^2}{2} = 216.4 m^2

Circumference = 2 \pi r = 2 \times \pi \times 8.3 = 52.2 m

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Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

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Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
Kim is a medical supplies salesperson. Each month she receives a 5% commission on all her sales of medical supplies up to $20,00
lions [1.4K]

Answer: her sales for the month of May is $55000

Step-by-step explanation:

Let x represent her total sales for the month of May.

Each month she receives a 5% commission on all her sales of medical supplies up to $20,000. This means that for her first sales worth $20000, she earns a commission of

5/100 × 20000 = 1000

She also earns 8.5% on her total sales over $20,000. This means that for sales over $20000, she earns

8.5/100(x - 20000) = 0.085x - 1700

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1000 + 0.085x - 1700 = 3975

0.085x = 3975 + 1700 - 1000

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