the ratio between the area of two circles is 16:9. find the ratio between their circumference, area and diameter
Answers
Step-by-step explanation:
(i) Let the radius of first circle = r1
(i) Let the radius of first circle = r1And radius of second circle = r2
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radius
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8x
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8xand d2 = 2 × r2 = 2 × 3x = 6x
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8xand d2 = 2 × r2 = 2 × 3x = 6xNow, the ratios between the diameter of two circles = d1 : d2
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8xand d2 = 2 × r2 = 2 × 3x = 6xNow, the ratios between the diameter of two circles = d1 : d2= 8x : 6x = 4 : 3
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8xand d2 = 2 × r2 = 2 × 3x = 6xNow, the ratios between the diameter of two circles = d1 : d2= 8x : 6x = 4 : 3(iii) Now, consider the ratio of circumference of the circles
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8xand d2 = 2 × r2 = 2 × 3x = 6xNow, the ratios between the diameter of two circles = d1 : d2= 8x : 6x = 4 : 3(iii) Now, consider the ratio of circumference of the circles= 2πr1/2πr2 = r1/r2 = 4/3
(i) Let the radius of first circle = r1And radius of second circle = r2Given that ratio of the areas of circles= 16 : 9⇒ r1/r2 = 4/3(ii) Let the diameter of first circle = d1and diameter of second circle = d2since, we know that diameter = 2 × radiusd1 = 2 × r1 = 2 × 4x = 8xand d2 = 2 × r2 = 2 × 3x = 6xNow, the ratios between the diameter of two circles = d1 : d2= 8x : 6x = 4 : 3(iii) Now, consider the ratio of circumference of the circles= 2πr1/2πr2 = r1/r2 = 4/3∴ The ratio between the circumference of two circles = 4 : 3
Answer:
(i) Let the radius of first circle = r1
And radius of second circle = r2
Given that ratio of the areas of circles
= 16 : 9
⇒ r1/r2 = 4/3
(ii) Let the diameter of first circle = d1
and diameter of second circle = d2
since, we know that diameter = 2 × radius
d1 = 2 × r1 = 2 × 4x = 8x
and d2 = 2 × r2 = 2 × 3x = 6x
Now, the ratios between the diameter of two circles = d1 : d2
= 8x : 6x = 4 : 3
(iii) Now, consider the ratio of circumference of the circles
= 2πr1/2πr2 = r1/r2 = 4/3
∴ The ratio between the circumference of two circles = 4 : 3
Step-by-step explanation:
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