Find the area of the following ellipse (round to nearest tenth).
2a = 10 cm; 2b = 24 cm.
a = How many cm2?
To find the area of an ellipse, you can use the formula:
Area = π * a * b
Given that 2a = 10 cm and 2b = 24 cm, we can substitute these values into the formula:
a = 10 cm / 2 = 5 cm
b = 24 cm / 2 = 12 cm
Now, let's calculate the area:
Area = π * 5 cm * 12 cm
Area = 188.5 cm²
Therefore, the area of the ellipse is approximately 188.5 cm².
To find the area of an ellipse, you can use the formula A = πab, where 'a' is the semi-major axis and 'b' is the semi-minor axis.
In this case, we are given that 2a = 10 cm and 2b = 24 cm. To find 'a' and 'b', we can divide the given measurements by 2.
a = (10 cm) / 2 = 5 cm
b = (24 cm) / 2 = 12 cm
Now that we have the values of 'a' and 'b', we can substitute them into the formula for the area:
A = π * 5 cm * 12 cm
To get the area rounded to the nearest tenth, we can use the value of π as approximately 3.14 and calculate the area:
A = 3.14 * 5 cm * 12 cm
= 188.4 cm^2
Therefore, the area of the ellipse is approximately 188.4 square centimeters.
a = 5
b = 12
A = pi (60) = 188