Question

there are two circles with diameters labeled. the first circle has a diameter of 8 m (with some handwritten calculations: area = 50.24, circumference = 25.12). the second circle has a diameter of 6.2 m, with blanks for area = ____ and circumference = ____. also, some handwritten notes like 0. + ×50 a) and 0+1=15 are present.

Explanation:

Step1: Find the radius

The diameter of the circle is \( 6.2 \, \text{m} \), so the radius \( r=\frac{6.2}{2}=3.1 \, \text{m} \).

Step2: Calculate the area

The formula for the area of a circle is \( A = \pi r^2 \). Substituting \( r = 3.1 \), we get \( A=\pi\times(3.1)^2=\pi\times9.61\approx3.14\times9.61 = 30.1754 \, \text{m}^2 \).

Step3: Calculate the circumference

The formula for the circumference of a circle is \( C = \pi d \) (where \( d \) is the diameter). Substituting \( d = 6.2 \), we get \( C=\pi\times6.2\approx3.14\times6.2 = 19.468 \, \text{m} \).

Answer:

Area: \( 30.18 \, \text{m}^2 \) (rounded to two decimal places) or \( 30.1754 \, \text{m}^2 \)
Circumference: \( 19.47 \, \text{m} \) (rounded to two decimal places) or \( 19.468 \, \text{m} \)