Question

if square A has a side of length 5 inches how many times bigger is the area of square B if it has a side of length 25 inches?

Answer 1

Answer:

A square has an area of 36 cm2. A circle is inscribed and cut out. What is the area of the remaining shape? Use 3.14 to approximate π.

Possible Answers:

15.48 cm2

7.74 cm2

3.69 cm2

28.26 cm2

12.14 cm2

Correct answer:

7.74 cm2

Explanation:

We need to find the area of both the square and the circle and then subtract the two. Inscribed means draw within a figure so as to touch in as many places as possible. So the circle is drawn inside the square. The opposite is circumscribed, meaning drawn outside.

Asquare = s2 = 36 cm2 so the side is 6 cm

6 cm is also the diameter of the circle and thus the radius is 3 cm

A circle = πr2 = 3.14 * 32 = 28.28 cm2

The resulting difference is 7.74 cm2