• Accueil
• Math
• 12. the top view of a circular table shown on ther...

# 12. the top view of a circular table shown on theright has a radius of 120 cm. find the area ofthe smaller segment of the table (shadedregion) determined by a 60° arc.a. (24001 - 3600/3) cm? b. 3600/3 cmc. 24007 cm? d. (14 4001 - 3600v3) cm? /60°120 cm​

• Réponse publiée par: elaineeee
Area of segment is 1,300 cm².

Therefore:

A. (2,400π - 3,600√3) cm²

Step-by-step explanation:

Area of segment (the shaded region) = Area of sector - area of triangle

Where:

Area of sector = (θπ/360)r²

Area of segment = (sinθ/2)r²

Derive the equation:

Area of segment = (θπ/360)r² - (sinθ/2)r²

Area of segment = r²(θπ/360 - sinθ/2)

Given:

Central angle, θ = 60°

pi, π ≈ 3.14

Solve for the area of segment or shaded region:

Area of segment = r²(θπ/360 - sinθ/2)

Area = (120 cm)² [60×3.14/360 - sin60/2]

Area = 14,400 cm² [0.523 - 0.866/2]

Area = 14,400 cm² [0.523 - 0.433]

Area = 14,400 cm² (0.09)

Area of segment or shaded region = 1,296 cm² or 1,300 cm²

A. (2,400π - 3,600√3) cm² = 1,300 cm²

B. 3,600√3 = 6,235 cm²

C.  2,400π = 7,536 cm²

D.  (14,400π - 3,600√3) = 38,980 cm²

• Réponse publiée par: sicienth

15 minutes per second

Explanation:

Since s=d/t, we divide 120 m by 8 sec, making the answer 15 m/s

• Réponse publiée par: Grakname

it's B

Step-by-step explanation:

I think my mind just said it's B

• Réponse publiée par: janalynmae

The area is approximately 1300.8 cm² or

Step-by-step explanation:

Consider the provided information.

We need to find the area of the shaded region.

The area of the segment is given as:

It is given that θ = 60°,  r = 120 cm

Substitute the respective values in the above formula.

Now substitute π = 3.14

Hence, the area is approximately 1300.8 cm² or

Connaissez-vous la bonne réponse?
12. the top view of a circular table shown on theright has a radius of 120 cm. find the area ofthe s...