Question

The diameter of the circles is 2 centimeters. Calculate the area in purple. (More information: There are 4 circles, and there are four sides on a square.)

a) 4 cm^2
b) 8 cm^2
c) 16 cm^2
d) 32 cm^2

Answer 1

The area of the purple region is approximately 13 cm².

Step-by-step explanation:

The diameter of each circle is 2 cm, therefore the radius is 1 cm (half of the diameter). To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius.

So, the area of one circle is A = π(1 cm)² = π cm².

Since there are 4 circles, we multiply the area of one circle by 4: A = 4π cm².

To find the numerical value of the area, we can approximate the value of π to 3.14.

Therefore, the area of the purple region is approximately 4(3.14) cm² = 12.56 cm².

Rounded to the nearest whole number, the answer is 13 cm².