If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given scenario, then find measurement of the central angle AOB

The measurement of the central angle AOB is 45 degrees

Step-by-step explanation:

To solve this problem, we will have to work with fractions.

We will get the fraction of area the shaded portion is when compared to the whole garden.

First of all, we will need to calculate the area of the garden which is

in this case, our radius is 8 inches.

Next, we will compare the area of the sector to the area of the garden. This will be

This will be the shaded area/ area of the whole garden

=

We will now convert this ratio to an angle by multiplying it by 360 degrees.

This will be:

The measurement of the central angle AOB is 45 degrees

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2