Question

K12 students help !!!!!!!!!!!!

Answer 1

the answer is 49.07cm squared

Answer 2

Explanation:

First , Split the given figure into two parts i.e rectangle and a semi - circle.

\underline{ \underline{ \text{Given}}}: [/tex]

In rectangle :

• Length ( L ) = 14 cm
• Width ( W ) = 9 cm

Finding the area of a rectangle :

`\sf{Area \: of \: a \: rectangle = L * W}`

⤷
`\sf{14 \: cm * 9 \: cm}`

⤷
`\sf{126 \: {cm}}^(2)`

Area of a rectangle = 126 cm ²

Now , In circle :

• Diameter ( d ) = 14 cm { Since In rectangle , length of both sides are equal }
• Radius ( r ) =
  `\sf{ (14 \: cm)/(2) = 7 \: cm}`

`\sf{Area \: of \: a \:semi - circle = (1)/(2) \pi \: {r}}^(2)`

⟷
`\sf{ (1)/(2) * 3.14 * {7}^(2) }`

⟷
`\sf{ (1)/(2) * 3.14 * 49}`

⟷
`\sf{ (1)/(2) * 153.86 \: {cm}^(2) }`

⟷
`\sf{76.93 \: {cm}}^(2)`

Area of a semi - circle = 76.93 cm²

Now , We have :

• Area of a rectangle ( A ) = 126 cm ²
• Area of a semi - circle ( a ) = 76.93 cm ²

`\sf{Area \: of \: a \: shaded \: part = A - a}`

⟷
`\sf{126 \: {cm}^(2) - 76.93\: {cm}}^(2)`

⟷
`\boxed{ \sf{49.07 \: {cm}^(2) }}`

`\red{ \boxed{ \boxed{ \underline{ \sf{Our \: final \: answer : 49.07 \: {cm}^(2) }}}}}`

Hope I helped ! ♡

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