Mathematics, 01.04.2020 19:00 shanapple50

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer. Please round to the nearest hundredths column.

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer.

Answers: 2

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Answer from: kefernanda40

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

Step-by-step explanation:

The given is,

Given diagram is combination of Rectangle and Semi circle.

Step:1

Res the attachment,

Area of given diagram = Area of A + Area of B..............(1)

Step:2

For A,

The A section in the given diagram is semi circle,

Diameter of semi circle = Total distance - ( 2+3)

( ∵ 2, 3 are top distance in the given diagram)

= 10 - 5

Diameter, d = 5 cm

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

$r = \frac{5}{2}$

r = 2.5 cm

Area, $A_{A} = \frac {\pi r^{2} }{2}$ ........................(2)

$A_{A} = \frac {\pi (2.5)^{2} }{2}$

$= \frac {\pi ( 6.25) }{2}$

$= \frac{19.63}{2}$

$A_{A} = 9.8174 cm^{2}$

Step:3

For B,

Area of rectangle is,

$A_{B} =lb$ .....................(3)

Where, l - Length = 10 cm

b - Width = 2 cm

Equation (3) become,

= (10)(2)

= 20

Area of B, $A_{B}$ = 20 $cm^{2}$

Step:4

From the equation (1),

Area of given diagram = 20+ 9.81747

Area = 29.817 square centimeters

Result:

The area of the given diagram is 29.817 square centimeters. The given diagram is combination of rectangle and semi circle.

What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

Correct sir/miss have a good day x < 3

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What is the area of the composite figure? (use 3.14 for pi). Explain how you arrived at your answer....