Question

. Consider two concentric circles. The radius of the big
circle is 26 cm and the radius of the small circle is
12 cm. Find the area between the circles.​

Answer 1

Answer:

➤ Area between the circles = 1672 cm²

Step-by-step explanation:

★ Given that:

Two concentric circles;

• Big circle radius = 26 cm
• Small circle radius = 12 cm

★ To find:

➤ Area between the circles.

➤ Formula to get the area between the circles:

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

= (πR² - πr²) sq. unit

= π(R² - r²) sq. unit

Where,

• R = Radius of big circle
• r = Radius of small circle
• π = 22/7

★ Finding the area between the circles:

• Area between circles = π[(26)² - (12)²] cm²
• Area between circles = π(676 - 144) cm²
• Area between circles = π(532) cm²
• Area between circles = (22 × 532)/7 cm²
• Area between circles = 22 × 76 cm²
• Area between circles = 1672 cm²

Answer 2

${\large{\bold{\rm{\underline{Question}}}}}\; \; \; \; \red \bigstar$

✠ Consider two concentric circles. The radius of the big circle is 26 cm and the radius of the small circle is 12 cm. Find the area between the circles.

${\large{\bold{\rm{\underline{Given \; that}}}}}\; \; \; \; \red \bigstar$

$\; \; \; \; \; \; \;{\bf{There \: are \: two \: concentric \: circles}}$

✠ The radius of the big circle = 26 cm

✠ The radius of the small circle = 12 cm

${\large{\bold{\rm{\underline{To \; find}}}}}\; \; \; \; \red \bigstar$

✠ Area between the two circles.

${\large{\bold{\rm{\underline{Solution}}}}}\; \; \; \; \red \bigstar$

✠ Area between the two circles = 1672 cm²

${\large{\bold{\rm{\underline{Using \; concept}}}}}\; \; \; \; \red \bigstar$

✠ Formula to find area between the two circles (according to the question).

${\large{\bold{\rm{\underline{Using \; formula}}}}}\; \; \; \; \red \bigstar$

✠ Area between the two circles =

(πR² - πr²) means π(R² - r²)

${\large{\bold{\rm{\underline{Where,}}}}}\; \; \; \; \red \bigstar$

★ π is pronounced as pi

★ The value of π is 22/7 or 3.14

★ R² denotes radius of big circle

★ r² denotes radius of small circle

★ ² means square.

${\large{\bold{\rm{\underline{Full \; Solution}}}}}\; \; \; \; \red \bigstar$

~ According to the using formula of finding area between the two circles = π(R² - r²). Let us put the values..!

➙ Area between the two circles = π(R² - r²)

➙ Area between the two circles = π(26² - 12²)

➙ Area between the two circles = π(676 - 144)

➙ Area between the two circles = π(532)

➙ Area between the two circles = π × 532

➙ Area between the two circles = 22/7 × 532

➙ Area between the two circles = 22 × 76

➙ Area between the two circles = 1672 cm²

${\frak{Henceforth, \: 1672 \: cm^{2} \: is \: area \: between \: two \: circles}}$