Using this square in a circle calculator, you can find the biggest square in a circle. It also helps you find the largest circle inside a square. Be it geometry 📐, construction 🏗️, or daily life 🚶, we often come across composite shapes such as a square circumscribing a circle 🔵 or a square inscribed in a circle. This calculator helps you find the dimensions 📏 of such shapes when one of the measurements is known! Have you ever wondered 'What is the largest circular pizza 🍕 I can fit into this square 🔲 box?' or 'What is the largest square piece of cake 🎂 I can fit into this circular plate 🍽️?' or 'What is the largest circular indoor pool 🏊 I can fit into this square room?' Well, wonder no more! Because our square in a circle calculator will help you find the answers to these questions and more!
Using the square in a circle calculator, you can find any of the following:
You can thus use this square in a circle calculator in several different ways, depending on your need!
To know how to find the largest square in a circle using the square inside a circle calculator, do the following:
In this manner, you can find the maximal square that you can draw within a given circle.
To know how to find the largest circle in a square using the square inside a circle calculator, do the following:
In this manner, when a square is circumscribing a circle, you can find the radius and area of the circle.
Squaring a circle refers to finding a square with the same area as that of the circle. For a circle with radius r, a square with the same area will have a side length of r√π. So, for example, if a given circle has a radius of 10 cm, then a square with the same area as the circle will have a side length of 10√π cm. Alternatively, we can also convert a given square to a round shape by doing the reverse operation. It's interesting to note that we can approximate a square to a circle by incrementally increasing the number of sides to get regular polygons such as pentagon, hexagon, heptagon, octagon, etc. until we end up with a circle ⭕.
Converting a square to a circle refers to finding a circle with the same area as the square. So if we want to convert a square to a round figure, the radius of the resulting circle will be s/√π, where s is the side of the square.
If we have a circle of radius 10 cm, then we can do the following to find the largest square inscribed in the circle:
If we have a square circumscribed about a circle with side 10 cm, then we can find the largest circle inscribed in the square as follows:
If we have a square of side 10 cm, its area will be 100 cm². A circle with the same area will therefore have a radius of 10/√π, or 5.64 cm.
Description for Correct answer: Radius of circle (r)=\( \Large \frac{1}{2}\times 14 \)=7cm =154 sq cm. Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter Comments Similar Questions No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Suggest Corrections 1 |