Math Problem Statement

Hallar la longitud de la circunferencia y el área de un círculo cuyo radio mide 9 m. Utilizar el valor 3.14 como π, y no redondear las respuestas. Incluir las unidades correctas en las respuestas.

Solution

The problem asks to find the circumference and area of a circle with a radius of 9 meters, using π=3.14\pi = 3.14 and not rounding the answers.

Formulas:

  1. Circumference of a circle: C=2πrC = 2 \pi r Where CC is the circumference and rr is the radius.

  2. Area of a circle: A=πr2A = \pi r^2 Where AA is the area.

Given:

  • Radius r=9r = 9 meters
  • π=3.14\pi = 3.14

Calculations:

  1. Circumference: C=2×3.14×9=56.52metersC = 2 \times 3.14 \times 9 = 56.52 \, \text{meters}

  2. Area: A=3.14×92=3.14×81=254.34square metersA = 3.14 \times 9^2 = 3.14 \times 81 = 254.34 \, \text{square meters}

Final Answers:

  • Circumference: 56.52meters56.52 \, \text{meters}
  • Area: 254.34square meters254.34 \, \text{square meters}

Would you like more details or have any questions?

Here are 5 related questions to expand on the topic:

  1. What is the circumference of a circle with a radius of 12 meters?
  2. How does the value of π\pi affect the calculation of the circumference?
  3. How can you calculate the area if the diameter is given instead of the radius?
  4. How is the area affected if the radius is doubled?
  5. What real-world situations might require finding the circumference of a circle?

Tip: The relationship between the radius and the circumference is directly proportional. Doubling the radius will also double the circumference.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference
Area

Formulas

Circumference of a circle: C = 2 * π * r
Area of a circle: A = π * r^2

Theorems

Formula for circumference and area of a circle

Suitable Grade Level

Grades 6-8