MATHEMATICS MIDDLE SCHOOL

5. What is the area of the figure to the nearest square centimeter? It is composed of a symmetric hexagonand a semicircle 4 cm6 cm3 cm4 cmc 100 cmA 50 cm2D 129 cmB 86 cm

Answers

Answer 1

Answer:

Area of the given figure is equal to $86\ cm^(2)$ ( nearest square centimeter).

What is area?

" Area is defined as the total space occupied by any two-dimensional object enclosed in it."

Formula used

Area of rectangle = length × width

Area of triangle $= (1)/(2) * base * height$

Area of semi-circle $= (1)/(2) * (\pi r^(2) )$

$r=$ radius of the circle

According to the question,

Given figure is composed of :

two congruent rectangles, four congruent triangles, one semi-circle

Given dimensions,

Length of a rectangle $= 6cm$

Width of a rectangle $= 4cm$

Height of a triangle $= 4cm$

Base of a triangle $= 3cm$

Radius of the semicircle $= (6)/(2)$

$=3cm$

Substitute the value in the formula to get the required area,

Area of a rectangle $= 6 * 4$

$= 24 cm^(2)$

Area of a triangle $= (1)/(2) * 3* 4$

$= 6 cm^(2)$

Area of a semicircle $= (1)/(2) * \pi * 3^(2)$

$=4.5 * 3.14\n\n= 14.13 cm^(2)$

Substitute the value to get the required area,

Area of the given composed figure $= 2* 24 + 4* 6 + 14.13$

$= 48 + 24 + 14.13\n\n= 86.13 \ cm^(2)$

≈ $86 cm^(2)$ (nearest square centimeter)

Hence, Option(B) is the correct answer.

Learn more about area here

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Answer 2

Answer: =100.2743338823 which is 100

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Answers

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Answer:

degree is 54

Step-by-step explanation:

the degree measure of other would be 15 degrees

because if you add all the other ones up that will be 85 and the rest is 15

so the degree would be 54

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