The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.
Circles
14 Likes

Question

The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.

KnowledgeBoat · Accepted Answer

From figure, There are two circles with center A and radius AE = 10 cm and AB = 6 cm. In △ABE, ⇒ AE² = AB² + BE² ⇒ 10² = 6² + BE² ⇒ 100 = 36 + BE² ⇒ BE² = 100 - 36 ⇒ BE² = 64 ⇒ BE = = 8 cm. We know that, The perpendicular from the centre to a chord bisect the chord. DE = 2BE = 2 × 8 = 16 cm. Hence, length of chord of bigger circle which is tangent to smaller circle = 16 cm.

Marks	No. of students
50-60	8
60-70	16
70-80	28
80-90	38
90-100	10

Mathematics

The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.

Circles

Related Questions

The following table shows the marks obtained (out of 100) by different students of class X.
Marks No. of students
50-60 8
60-70 16
70-80 28
80-90 38
90-100 10
Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

If x² - 3x + 2 is a factor of x³ - ax² + b, find the values of a and b.

In the given figure, P(-3, -4) is the mid-point of the line segment AB.
Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

Mathematics

The radii of two concentric circles are 6 cm and 10 cm respectively. Find the length of the chord of the bigger circle which is tangent to smaller circle.

Circles

Related Questions

The following table shows the marks obtained (out of 100) by different students of class X.MarksNo. of students50-60860-701670-802880-903890-10010Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

If x2 - 3x + 2 is a factor of x3 - ax2 + b, find the values of a and b.

In the given figure, P(-3, -4) is the mid-point of the line segment AB.Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.

The following table shows the marks obtained (out of 100) by different students of class X.
Marks No. of students
50-60 8
60-70 16
70-80 28
80-90 38
90-100 10
Taking suitable scales on both the axes, draw a histogram and use it to estimate mode.

If x² - 3x + 2 is a factor of x³ - ax² + b, find the values of a and b.

In the given figure, P(-3, -4) is the mid-point of the line segment AB.
Find the coordinates of points A and B. Also, find the equation of the line passing through the point P and also perpendicular to line-segment AB.