Question

Calculate the area of each circle.

grade V lvl
R-radius and D-diameter
1.R-8yd
2.D-18in
3.R-10yd
4.R-6in
5.R-4ft
6.D-10ft
7.R-1yd
8.D-14in
9.R-2yd

Answer 1

Formula Used:-

`{ \pmb{ \hookrightarrow}} \: \underline{\boxed{\pmb{\sf{Area_((Circle)) \: = \: \pi \: {r}^(2) }}}} \: \pmb{\red{\bigstar}} \\`

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1) Radius = 8 yd

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {8}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 8 * 8 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 64 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{1408} {7} \: \: {yard}^(2) \: \\`

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2) Diameter = 18 inch

→ Radius = 18/2 = 9 inch

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {9}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 9 * 9 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 81 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{1782} {7} \: \: {inch}^(2) \: \\`

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3) Radius = 10 yd

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {10}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 10 * 10 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 100 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{2200} {7} \: \: {yard}^(2) \: \\`

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4) Radius = 6 inch

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {6}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 6 * 6 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 36 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{792} {7} \: \: {inch}^(2) \: \\`

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5) Radius = 4 ft

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {4}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 4 * 4 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 16 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{352} {7} \: \: {ft}^(2) \: \\`

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6) Diameter= 10 ft

→ Radius = 10/2 = 5 ft

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {5}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 5 * 5 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 25 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{550} {7} \: \: {ft}^(2) \: \\`

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7) Radius = 1 yd

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {1}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 1 * 1 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 1 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: \: {yard}^(2) \: \\`

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8) Diameter= 14 inch

→ Radius = 14/2 = 7 inch

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {7}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 7 * 7 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 49 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{1078} {7} \: \: \: \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: 154 \: \: {inch}^(2) \: \\`

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9) Radius = 2 yd

`\longrightarrow \sf \: Area_((Circle)) \: = \: \pi \: {r}^(2)`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * {2}^(2) \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 2 * 2 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{22} {7} \: * 4 \\`

`\longrightarrow \sf \: Area_((Circle)) \: = \: \frac{88} {7} \: \: {yard}^(2) \: \\`

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