28.4k views
5 votes
What is the area of a square inscribed in a circle with radius 1 meter? image included

help please!!!

What is the area of a square inscribed in a circle with radius 1 meter? image included-example-1

2 Answers

8 votes

Solution:

Note that:

  • Diagonal of square = Diameter of circle
  • Diameter of circle = 2 meters
  • Diagonal of square = 2 meters

Use Pythagoras theorem to find the side of the square.

  • 2² = x² + x²
  • => 4 = 2x²
  • => 2 = x²
  • => x = √2

Now, the area should be x².

  • Area of square = (√2)²
  • => Area of square = 2 m²

The area of the square is 2 m².

User DDan
by
7.6k points
12 votes

Answer:

area of square: 2 m²

Step-by-step explanation:

using Pythagoras theorem, find the side length of the square:

→ a² + b² = c²

→ 1² + 1² = c²

→ c = √2

→ length of one side of square is √2 m

Using square area formula:

→ length²

→ ( √2 )²

→ 2 m²

User Pauminku
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories