Question

textbook chapter 1- view and print as neededcalculator resource: desmos scientific calculatorrounding: rounding decimals on the desmos scientific calculator +fractions: fraction operations on the desmos scientific calculator +area and circumference of a circledetermine the area and circumference of a circle with radius 13 cm.use the π button on your calculator and round your answers to the nearest hundredth as needed.area = select an answercircumference = select an answer

Explanation:

Step1: Recall area formula of circle

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \), where \( r \) is the radius. Given \( r = 13\) cm, substitute \( r \) into the formula: \( A=\pi\times(13)^{2}=\pi\times169 \). Using a calculator with the \( \pi \) button, we get \( A\approx169\times3.1415926535\approx530.93 \) (rounded to the nearest hundredth).

Step2: Recall circumference formula of circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \). Substitute \( r=13 \) into the formula: \( C=2\times\pi\times13 = 26\pi \). Using a calculator with the \( \pi \) button, we get \( C\approx26\times3.1415926535\approx81.68 \) (rounded to the nearest hundredth).

Answer:

Area: \(\approx 530.93\) square centimeters
Circumference: \(\approx 81.68\) centimeters