Question

In this activity, you are going to explore the Orlando Eye. We have provided the diameter and number of capsules below to get you started. Complete the following tasks and calculations. You must show all work and steps to receive full credit.

Answer 1

Answer:

Circumference: 376.8 meter

Area: 11304 meter - square

Step-by-step explanation:

In geometry, we have the following formula to calculate circumference and area:

$Circumference:\ C = 2 \pi r\\Area:\ \pi r^{2}$

From the question, we have the following data:

Diameter = 120 meter

We know that diameter is twice the radius of a circle, hence we divide the diameter by 2 to find the value of radius.

$Radius = \frac{120}{2} = 60\ meter$

We use the value of radius in the formula of circumference and area, as given above:

Circumference of the capsule:

$C = 2 \pi r\\C = 2 \pi \times 60\\C = \pi \times 120\\C = 3.14 \times 120\\C= 376. 8\ meters$

Area of the capsule:

$A = \pi r^{2}\\A = \pi (60)^{2}\\A = \pi \times 3600\\A = 3.14 \times 3600\\A = 11,304\ meter^{2}$