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IgorLugansk [536]
3 years ago
15

Find the length of arc ABC. Express answer in terms of pi. PC=18in

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0

Answer: 27\pi

Step-by-step explanation:

In the given figure we have given a circle in with radius PC = 18 inches

Also, the central angle made by arc AC 90^{\circ} or \dfrac{\pi}{2}

Since the sum of angles at a point is  2\pi

Then , the central angle made by arc AC :-

\theta=2\pi-\dfrac{\pi}{2}=\dfrac{3\pi}{2}

The formula to find the arc length is given by :-

l=r\theta

Then the length of arc ABC will be :-

l=(18)(\dfrac{3\pi}{2})=27\pi

Hence, the length of arc ABC = 27\pi

Lapatulllka [165]3 years ago
3 0

The formula would be 2 * pi * (central angle)/360

Hence, 2 * 22/7 * 270/360 => 84.823 in.

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Nadusha1986 [10]

Answer:

1.

centre(h,k)=(-13,9)

radius (r)=6

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equation of the circle is

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4 0
3 years ago
Someone please help me I’m really struggling <br> I will give brainliest
viktelen [127]

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

<u>Math</u>

  • Pi π = 3.14...

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Radius: r = d/2
  • Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

<u>Step 1: Define</u>

d = 19 cm

<u>Step 2: Find </u><em><u>SA</u></em>

  1. Substitute [R]:                    r = 19 cm/2
  2. Divide:                                r = 9.5 cm
  3. Substitute [SAS]:               SA = 4π(9.5 cm)²
  4. Exponents:                        SA = 4π(90.25 cm²)
  5. Multiply:                             SA = 361π cm²
  6. Multiply:                             SA = 1134.11 cm²
  7. Round:                               SA ≈ 1134 cm²
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