Pregunta
upstudy study bank question image url

A circle has a circumference of \( 1,133.54 \) units. What is the diameter of the circle? Use 3.14 for \( \pi \) and enter your answer as a decima units

Ask by Johnston Sandoval. in the United States
Feb 26,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The diameter of the circle is 361.0 units.

Solución

The formula for the circumference of a circle is   circumference = π × diameter. We are given:   Circumference = 1,133.54 units   π = 3.14 To find the diameter, rearrange the formula:   diameter = circumference / π Now substitute in the values:   diameter = 1,133.54 / 3.14 Performing the division:   diameter = 361 So, the diameter of the circle is 361.0 units.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Bonus Knowledge

To find the diameter of the circle, you can use the formula for the circumference of a circle, which is given by \( C = \pi \times d \). Rearranging this formula to solve for the diameter \( d \) gives us \( d = \frac{C}{\pi} \). Substituting the values provided: \[ d = \frac{1,133.54}{3.14} \approx 361.00 \text{ units} \] So, the diameter of the circle is approximately \( 361.00 \) units. Calculating and understanding geometry has a fascinating history! Ancient Greeks like Euclid laid the foundational concepts, and Archimedes was one of the first to calculate the value of π. Fast forward to the Renaissance, when mathematics blossomed across Europe, leading to prominent figures like Galileo and Kepler who introduced new ways to understand circles and their properties. In real-world applications, circles and their measurements are crucial in various fields like engineering, architecture, and manufacturing. Understanding how to calculate circumference and diameter is essential when designing wheels, gears, and even tracks for roller coasters. Whether you're building a bridge or crafting a piece of furniture, these concepts come into play to ensure the circles fit perfectly!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad