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Aleonysh [2.5K]
3 years ago
5

Find the area of each circle. Use 3.14 forp 12 cm,

Mathematics
2 answers:
Rudik [331]3 years ago
8 0

Answer:

113.04 cm²

Step-by-step explanation:

il63 [147K]3 years ago
5 0

The area of the circle is 113.04 cm²

<u>Step-by-step explanation:</u>

The given information are,

  • The diameter of the circle = 12 cm
  • The diameter must be converted into radius.

Radius = diameter / 2

Radius = 12/2 = 6 cm

Now, the formula for area of the circle is given by πr²

where,

  • r is the radius of the circle.
  • π has the default value 3.14

<u>To calculate the area of circle :</u>

Substitute r=6 and π=3.14,

Area of the circle = (3.14) × (6²)

⇒ 3.14 × 36

⇒ 113.04 cm²

The area of the circle is 113.04 cm²

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Answer:

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  • Order of Operations: BPEMDAS
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Step-by-step explanation:

<u>Step 1: Define equation</u>

5(x + 4) = -2(-4 - x) + 3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   5x + 20 = 8 + 2x + 3
  2. Combine like terms:                   5x + 20 = 2x + 11
  3. Subtract 2x on both sides:        3x + 20 = 11
  4. Subtract 20 on both sides:        3x = -9
  5. Divide 3 on both sides:              x = -3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    5(-3 + 4) = -2(-4 - -3) + 3
  2. Simplify:                        5(-3 + 4) = -2(-4 + 3) + 3
  3. Add:                              5(1) = -2(-1) + 3
  4. Multiply:                        5 = 2 + 3
  5. Add:                              5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

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