Question

๑QualityQuestion
A cow is tied to a pole on one end of a rectangular park with a string 14 m. Find the area over which the cow can graze. (Take t = 27)​​

Answer 1

Answer:

• Area over which the cow can graze is 154 m².

Step-by-step explanation:

Given information,

A cow is tied to a pole on one end of a rectangular park with a string of length 14 m. Find the area over which the cow can graze. (Take π = 22/7)

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¤ Here according to the question, cow is tied to a pole on one end of a rectangular park with 14 m long string. We know that, angle on each of rectangle is right angle i.e, 90°. Let's assume area grazed as area of quadrant of circle and length of string as radius of quadrant of circle. ¤

Using formula,

✪ Area of quadrant = 90/360 × πr² ✪

Where,

• π denotes Pi
• r denotes radius

We have,

• π = 22/7
• r = 14 m
• Area of quadrant = ?

Putting all values,

➧ Area of quadrant = 90/360 × 22/7 × 14²

➧ Area of quadrant = 9/36 × 22/7 × 14×14

➧ Area of quadrant = 1/4 × 22/1 × 2 × 14

➧ Area of quadrant = 1/4 × 44/1 × 14

➧ Area of quadrant = 1/4 × 44 × 14

➧ Area of quadrant = 1/1 × 11 × 14

➧ Area of quadrant = 1 × 11 × 14

➧ Area of quadrant = 11 × 14

➧ Area of quadrant = 154 m²

• Hence, area over which the cow can graze is 154 m².

Additional information,

↠ Area of minor sector

ㅤㅤㅤㅤㅤ→ θ/360 × πr²

↠ Area of major sector

ㅤㅤㅤㅤㅤ→ πr² - Area of minor sector

↠ Area of minor segment

ㅤㅤㅤㅤㅤ→ Area of corresponding sector - Area of corresponding ∆

↠ Area of major segment

ㅤㅤㅤㅤㅤ→ πr² - Area of minor segment

↠ Length of arc of a sector

ㅤㅤㅤㅤㅤ→ θ/360 × 2πr

↠ Area of circle

ㅤㅤㅤㅤㅤ→ πr²

↠ Circumference of circle

ㅤㅤㅤㅤㅤ→ 2πr

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Answer 2

Step-by-step explanation:

given :

• A cow is tied to a pole on one end of a rectangular park with a string 14 m. Find the area over which the cow can graze. (Take t = 27)

to find :

• Find the area over which the cow can graze. (Take t = 27)

solution :

• check your answer in attachment please check