The circumference of Jenny’s circular table is 2 meters. Jenny wants to
paint the table with a fresh coat of paint.
If Jenny only wants to paint the top of the table, how many square meters
will she need to paint? Use 3.14 to represent π. Show your work. Round
your calculations to the nearest hundredth.
School Subject:______________ (Examples: math, science, algebra, geography)
C = pi * d
2 = 3.14d
2/3.14 = d
0.6369 = d
A = pi * r^2
A = 3.14 * 0.3185
A = 1 square meter
To find out how many square meters of paint Jenny will need to paint the top of the table, we first need to calculate the area of the table.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, the circumference is 2 meters, so we can solve for r.
2πr = 2
r = 2 / (2π)
r ≈ 0.3183 meters (rounded to four decimal places)
Now that we have the radius, we can calculate the area of the circular table. The formula for the area of a circle is A = πr^2.
A = π(0.3183)^2
A ≈ 0.3183^2 × 3.14
A ≈ 0.1010 × 3.14
A ≈ 0.3171 square meters (rounded to four decimal places)
Therefore, Jenny will need approximately 0.3171 square meters of paint to paint the top of her circular table.