Question

the top of the syringe is a circle. you need to compute its area for use in later computations of pressure values. start by using a ruler to measure the diameter. estimate to the nearest 0.01 cm. 3.40 cm

Explanation:

Step1: Find the radius

The diameter \( d = 3.40 \) cm. The radius \( r \) of a circle is half of the diameter, so \( r=\frac{d}{2}\).
\( r = \frac{3.40}{2}=1.70 \) cm.

Step2: Calculate the area of the circle

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 1.70 \) cm into the formula.
\( A=\pi\times(1.70)^{2}=\pi\times2.89\approx3.1416\times2.89\approx9.07 \) \( cm^{2} \) (rounded to two decimal places).

Answer:

The area of the circular top of the syringe is approximately \( 9.07 \) \( cm^{2} \).