IDNStudy.com, kung saan ang mga eksperto at komunidad ay nagtutulungan para sagutin ang iyong mga tanong. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

two circles of inscribed in a rectangle if the radius of the circle is 3cm what is the area inside the rectangle not occupied by the circle use - = 3.14​

Sagot :

Answer:

Given:Radius of each circle, ( r = 3 ) cm

Step-by-step solution:Calculate the diameter of the circle:

1. Calculate the diameter of the circle:

[tex]d = 2r = 2 \times 3 = 6 \text{ cm}[/tex]

2. Width of the rectangle = diameter of one circle = 6 cm

Length of the rectangle

[tex]{= 2 \times diameter \: of \: one \: circle = 2 \times 6 = 12 \: cm}[/tex]

3. Area of the rectangle:

Area of Rectangle = length x width = 12 cm x 6 cm = cm²

4. Area of one circle:

= πr² = 3.14 x 3² = 3.14 x 9 = 28.26 cm²

5. Total area occupied by the two circles:

[tex]= 2 \times 28.26 \text{ cm}^2 = 56.52 \text{ cm}^2[/tex]

6. Area inside the rectangle not occupied by the circles:

Area not occupied = Area of the rectangle Total area of circles

[tex]72 \text{ cm}^2 - 56.52 \text{ cm}^2 = 15.48 \text{ cm}^2 [/tex]

[tex] \sf{The \: right \: answer \: is \: \boxed{15.48 cm²}}.[/tex]

[tex] \sf{A = \pi \times {r}^{2}}[/tex]

[tex] \sf{A \:= 3.14 \times {3}^{2}}[/tex]

[tex] \sf{A = 3.14 \times 9 = 28.26 \: {cm}^{2}} [/tex]

[tex] \sf{A = 2 \times 28.26 = 56.52 \: {cm}^{2}}[/tex]

[tex] \sf{Length \: of \: the \: rectangle = 2 \times 6 = 12 \: cm}[/tex]

[tex] \sf{Area \: of \: the \: rectangle = l \times w = 12 \: cm \times 6 \: cm = 72 \: {cm}^{2}}[/tex]

[tex] \sf{Area \: unoccupied \: by \: the \: circles = Area \: of \: the \: rectangle \: - Area \: of \: the \: two \: circle}[/tex]

[tex] \sf{A = 72 \: {cm}^{2} - 56.52 \: {cm}^{2}}[/tex]

[tex] \huge \sf \green{A = 15.48 \: {cm}^{2}}[/tex]