Mathematics, 11.04.2020 05:53 vistagallosky

In the diagram below of circle A, diameter MP = 26, mZGAI = 30° and radii GA and Al are
drawn
30
If MG a TP, find the area of the sector MAG in terms of and approximated to the nearest
hundredth

Answers: 2

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Answers

Answer from: winstonbendariovvygn

The area of sector MAG is 111 square units, if the diameter MP = 26, m∠GAI = 30° and radii are GA and AI.

Step-by-step explanation:

The given is,

Diameter MP = 26

m∠GAI = 30°

GA and AI are radii

In the given question diagram is not given, we attach the diagram.

Step:1

Formula for area of semi circle,

$A_{Bottom circle} = \frac{\pi r^{2} }{2}$ .............................(1)

where, r - radius of circle

From given, D = 26 units

r = $\frac{d}{2}$

$r = \frac{26}{2}$

r = 13

Equation (1) becomes,

$A_{Bottom circle} = \frac{\pi 13^{2} }{2}$

$= \frac{\pi (169)}{2}$

= (3.1415)(84.5) (∵ $\pi = 3.1415$ )

= 265.456 square units

$A_{Bottom circle} =$ 265.456 square units

Step:2

Ref attachment,

Area of MAG = Area of PAI (From figure)

Area of semi circle = Area of MAG + Area of GAI + Area of PAi

= 2 ( Area of MAG) + Area of GAI

Above equation modified to,

2 (Area of MAG) = Area of semi circle - Area of GAI

Step:3

The Area of GAI is $\frac{1}{6}$ times of Area of semi circle

(Six times of 30° equal to 180°)

Area of GAI = $\frac{1}{6}$ × Area of semi circle

= $\frac{1}{6}$ × 265.456

Area of GAI = 44.2423 square units

From step 2,

2 (Area of MAG) = 265.456 - 44.2423

= 221.213

Area of MAG = $\frac{221.213}{2}$

= 110.60677

Area of MAG ≅ 111 square units

Result:

The area of sector MAG is 111 square units, if the diameter MP = 26, m∠GAI = 30° and radii are GA and AI.

In the diagram below of circle A, diameter MP = 26, mZGAI = 30° and radii GA and Al are drawn 30 If

Answer from: Quest

55? i think maybe

step-by-step explanation:

Iknow it’s simple i guess but can someone solve it for me.

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.