Find the area of the shaded region.

Mathematics

1 answer:

slamgirl [31]3 years ago

7 0

Answer:

25,886 in²

Step-by-step explanation:

The given figure shows 2 circles centered at the same point. We need to find the area of the shaded region. If we observe carefully, the area in between two circles is the shaded region. So if we subtract the Area of smaller circle from the Area of larger circle we can calculate the Area of the shaded region.

Area of a circle = πr²

Radius of larger circle = OP = OQ = 93.4 inches

Radius of smaller circle = OR = OQ - RQ = 93.4 - 71.5 = 21.9 inches

Therefore, area of shaded region will be:

Area of Shaded Region = Area of larger circle - Area of smaller circle

Area of Shaded Region = π(93.4)² - π(21.9)²= 25,886 in²

Thus, the area of shaded region, rounded to nearest inch will be 25,886 in²

You might be interested in

5 less than a number is equivalent to 1 more than three times the number. the number is

lutik1710 [3]

Answer:

x = -1

Step-by-step explanation:

5 less than a number is equivalent to 1 more than three times the number

number = x

x - 5 = 3x + 1

now im going to get the numbers and variable on different sides

x - 5 + 5 = x

3x + 1 - 3x = 1

x + 3x = 4x

1 - 5 = -4

4x = -4

lastly im going to divide each side by 4

4x / 4 = x

-4 / 4 = -1

x = -1

3 0

3 years ago

Simplify: |3 – 10| – (12 / 4 + 2)^2 0 - 32 O – 18 O3 0 - 6

MakcuM [25]

Answer:

-18

Step-by-step explanation:

Simplify: |3 – 10| – (12 / 4 + 2)^2

$|3 - 10| - (\frac{12}{4} + 2)^2\\\\|-7|-(\frac{12}{4} + 2)^2 < == absolute\ numbers\ are\ always\ positive\\\\7-(3+2)^2 < ==add\ numbers\ in\ parenthesis\\\\7-5^2 < ==square\ the\ number\ (5)\\\\7-25 < ==add\ numbers\\\\-18 < ==final\ answer$