Question

Please answer the question quickly.plz...plz...plz...​

Answer 1

Answer:

1) Area of gold score = 346.5 cm²

2) Area of red circle = 1039.5 cm²

3) Area of blue circle = 1732.5 cm²

4) Area of black circle = 2428.5 cm²

5) Area of white circle = 3118.5 cm²

Step-by-step explanation:

Given that:

• Total number of regions from the Centre outwards = 5
• Diameter of the region representing gold score = 21 cm
• Radius of gold score = 21/2 = 10.5 cm
• And each of the other bands is 10.5 cm wide.

Formula to find area of circle:

Area of circle = πr² sq. unit

Where,

• r = Radius
• π = 22/7

1) Finding the area of gold circle:

• Area of gold score = π × (10.5)² cm²
• Area of gold score = (22 × 10.5 × 10.5)/7 cm²
• Area of gold score = 346.5 cm²

Formula to find area between two circles:

Area between two circles = Area of big circle - Area of small circle

Area between two circles = πR² - πr² sq. unit

Area between two circles = π(R² - r²) sq. unit

Where,

• R = Radius of big circle
• r = Radius small circle

Finding the radius of red circle:

Radius of red circle from centre = (10.5 + 10.5) Radius of red circle from centre = 21 cm

2) Finding the area of Red circle:

• Area of red circle = π(21² - 10.5²) cm²
• Area of red circle = π(441 - 110.25) cm²
• Area of red circle = π(330.75) cm²
• Area of red circle = (22 × 330.75)/7 cm²
• Area of red circle = 1039.5 cm²

Finding the radius of blue circle:

Radius of blue circle from centre = (21 + 10.5) Radius of blue circle from centre = 31.5 cm

3) Finding the area of blue circle:

• Area of blue circle = π(31.5² - 21²) cm²
• Area of blue circle = π(992.25 - 441) cm²
• Area of blue circle = π(551.25) cm²
• Area of blue circle = (22 × 551.25)/7 cm²
• Area of blue circle = 1732.5 cm²

Finding the radius of black circle:

Radius of black circle from centre = (31.5 + 10.5) Radius of black circle from centre = 42 cm

4) Finding the area of black circle:

• Area of black circle = π(42² - 31.5²) cm²
• Area of black circle = π(1764 - 992.25) cm²
• Area of black circle = π(771.75) cm²
• Area of black circle = (22 × 771.75)/7 cm²
• Area of black circle = 2428.5 cm²

Finding the radius of white circle:

Radius of white circle from centre = (42 + 10.5) Radius of white circle from centre = 52.5 cm

5) Finding the area of white circle:

• Area of white circle = π(52.5² - 42²) cm²
• Area of white circle = π(2756.25 - 1764) cm²
• Area of white circle = π(992.25) cm²
• Area of white circle = (22 × 992.25)/7 cm²
• Area of white circle = 3118.5 cm²

Answer 2

$\Huge\bold{Solution}$

$\Huge\bold{Given}$

Diameter of Gold region= 21 cm

Radius of gold region= 21/2= 10.5 cm

Area of Gold Region = πr²

= π(10.5)² =( 22/7)× 110.25 = 346.5 cm²

Area of Gold Region= 345.5 cm²

Radius for gold + red region= 10.5 + 10.5= 21 cm

Area of Red Region = π²(21² - 10.5²)

[Area of a ring= π (R²-r²), where R= radius of outer ring & r= radius of inner ring]

= 22/7 (21² – 10.5²) [ a²-b²= (a+b)(a-b)]

= 22/7 (21 + 10.5)(21 – 10.5)

= (22/7 )x 31.5 x 10.5 = 1039.5 cm²

Area of Red Region = 1039.5 cm²

Now radius for gold + red+ blue region= 21+10.5= 31.5 cm

Area of Blue Region = π(31.5² – 21²)

= 22/7 (31.5² - 21²)

= 22/7 (31.5 +21)(31.5 - 21)

= (22/7 )x 52.5 x 10.5 = 1732.5 cm²

Area of Blue Region =1732.5 cm²

Now, radius for gold + red+ blue + black region= 31.5+10.5= 42 cm

Area of Black Region = π(42² – 31.5²)

= 22/7 (42²-31.5² )

= 22/7 (42+31.5)(42-31.5)

= (22/7 )x 73.5 x 10.5 = 2425.5 cm²

Area of Black Region =2425.5 cm²

Now radius for gold + red+ blue + black+ white region= 42+10.5= 52.5 cm

Area of White Region= π(52.5² – 42²)

= 22/7 (52.5²-42² )

= 22/7 (52.5+42)(52.5-42)

= (22/7 )x 94.5 x 10.5 = 3118.5 cm²

Area of white Region =3118.5 cm²

HOPE THIS WILL HELP YOU....

@gurmanpreet1023