Measure of two arcs formed by a chord of a circle are 2x^ and 7x^ . find themeasure of minor arc.

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In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are

  •  90° and 270°

  • 90° and 90°

  •  270° and 90°

  • 60° and 210°

 270° and 90°

We are given the major arc is 3 times the minor arc. We are asked to find the corresponding central angle.

See the corresponding figure.

Measure of two arcs formed by a chord of a circle are 2x^ and 7x^ . find themeasure of minor arc.
 

We know that angle formed by the circumference at the centre is 360°.

Since the circumference of the circle is divided into two parts such that the angle formed by major and minor arcs at the centre are 3x and x respectively.

 So             3x + x = 360

                         4x = 360

                            x = 90

So m \[\stackrel\frown{AB}\] = 90° and m \[\stackrel\frown{AB}\]   = 3x = 270°

Concept: Angle Subtended by an Arc of a Circle

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Mathematics Solutions for Class 8 Math Chapter 15

FREE Mathematics Solutions for class 8 Math, Chapter 15 - The Arc Of A Circle from (Mathematics Solutions).

Measure of two arcs formed by a chord of a circle are 2x^ and 7x^ . find themeasure of minor arc.

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4) Measure of two arcs formed by a chord of a circle are "2x^(2)" and "7x^(@)".Find the measure of minor arc.

Measure of two arcs formed by a chord of a circle are 2x^ and 7x^ . find themeasure of minor arc.

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A chord of a circle divides the circular region in two parts the region which contains the centre is known as

Click here👆to get an answer to your question ✍️ A chord of a circle divides the circular region in two parts the region which contains the centre is known as

Measure of two arcs formed by a chord of a circle are 2x^ and 7x^ . find themeasure of minor arc.

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