The circumference of the inscribed circle in the square, with a diameter equal to the side length of the square (10 units), is approximately 31.42 units.
The circumference of a circle is the distance around the edge of the circle. It can be calculated by multiplying the diameter of the circle by pi, which is approximately 3.14. The diameter of a circle is twice the radius, which is the distance from the center of the circle to any point on the edge.
In the figure above, a circle is inscribed in a square, which means that the circle touches all four sides of the square at exactly one point each. Therefore, the diameter of the circle is equal to the length of the side of the square, which is given as 10. To find the radius of the circle, we divide the diameter by 2, which gives us 5.
Now, we can use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius. Plugging in the value of r = 5, we get:
C = 2π(5) C = 10π C ≈ 31.42
Therefore, the circumference of the circle is approximately 31.42.