Semicircle Formulas What Are Semicircle Formulas Examples Definition. ‘semi’ means half, thus semicircle is a half circle. it is formed when a line passing through the center of the circle touches the two ends forming an intercepted arc. thus a semicircle consists of the diameter of the circle and its connecting arc. semicircle being half a circle, its arc always measures (360° 2 = 180°) and. Solved examples. example 1: a circle has a diameter of 14 cm. find the area of the semicircle. (use π = 22 7) solution: given: diameter of a circle = 14 cm. radius = diameter 2 = 14 2 = 7 cm. now, area of the semicircle = ½ × πr² = ½ × 22 7 × 7 ×7 = 77 cm². example 2: a semicircle has a diameter of 28 cm. find its perimeter. (use π.
Semicircle вђ Definition Meaning Formulas Solved Examples Using semicircle formulas, area of semicircle = 1 2 × (π r 2) area = (π × 6 2) 2. = 36 π 2. = 18 π in 2. answer: the area of the semicircle is 18π in 2. example 2: if the radius of a semicircle is 7 units, then using the semicircle formula find its perimeter. solution: to find: the perimeter of a semicircle. Definition of a semicircle: when an arc of a circle with its endpoints on the diameter cuts a circle into two equal halves, those halves are called semicircles. it is the most common shape we find in real life, for example, the shape of the protractor, speedometer, taco, and so on. the image below represents a semicircle pqr along with the arc. The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. as the perimeter of a circle is 2πr or πd. so, the perimeter of a semicircle is 1 2 (πd) d or πr 2r, where r is the radius. therefore, the perimeter of semicircle = (1 2) π d d. or. The equation of a full circle with a center at the origin (0, 0) of a coordinate plane and a radius r is x 2 y 2 = r 2. however, a semicircle, depending on its orientation (upper or lower half), has an equation governed by the following: upper semicircle: y = r 2 – x 2. . lower semicircle: y = – p 2 – x 2.
Parts Of A Semicircle The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. as the perimeter of a circle is 2πr or πd. so, the perimeter of a semicircle is 1 2 (πd) d or πr 2r, where r is the radius. therefore, the perimeter of semicircle = (1 2) π d d. or. The equation of a full circle with a center at the origin (0, 0) of a coordinate plane and a radius r is x 2 y 2 = r 2. however, a semicircle, depending on its orientation (upper or lower half), has an equation governed by the following: upper semicircle: y = r 2 – x 2. . lower semicircle: y = – p 2 – x 2. A semicircle is a half circle that is formed by cutting a whole circle into two halves along a diameter line. the semicircle has only one line of symmetry which is the reflection symmetry. the semicircle is also referred to as a half disk. since the semicircle is half of the circle (360 degrees), the arc of the semicircle always measures 180. The area of a semicircle. the region or inner space of a circle is referred to as its area. a semicircle, as we know, is half of a circle, and therefore its area will also be half that of a circle’s area. the area of a circle is \ (\pi r^2\), where r is the radius of the circle. therefore, the area of a semicircle is \ (=\frac {\pi r^2} {2}\).
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