Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

match each circular flower bed on the left to its circumference and its…

Question

match each circular flower bed on the left to its circumference and its area on the right. some answer options on the right will not be used. diameter = 10 ft flower bed a radius = 6 ft flower bed b circumference = 5π feet, area = 25π square feet circumference = 6π feet, area = 36π square feet circumference = 10π feet, area = 25π square feet circumference = 10π feet, area = 100π square feet circumference = 12π feet, area = 36π square feet circumference = 12π feet, area = 144π square feet click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. the target will highlight or the cursor will change. need help? watch this video.

Explanation:

Step1: Recall circle - formulas

The formula for the circumference of a circle is $C = 2\pi r=\pi d$ (where $r$ is the radius and $d$ is the diameter), and the formula for the area of a circle is $A=\pi r^{2}$.

Step2: Calculate for Flower Bed A

Flower Bed A has a diameter $d = 10$ ft, so the radius $r=\frac{d}{2}=5$ ft. The circumference $C=\pi d = 10\pi$ ft, and the area $A=\pi r^{2}=\pi\times5^{2}=25\pi$ square - feet.

Step3: Calculate for Flower Bed B

Flower Bed B has a radius $r = 6$ ft. The circumference $C = 2\pi r=12\pi$ ft, and the area $A=\pi r^{2}=\pi\times6^{2}=36\pi$ square - feet.

Answer:

Flower Bed A: circumference = $10\pi$ feet, area = $25\pi$ square feet
Flower Bed B: circumference = $12\pi$ feet, area = $36\pi$ square feet