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12. Find the area of the shaded region, where O

Berikut ini adalah pertanyaan dari bagasadhikarisudarmo pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

12. Find the area of the shaded region, where O is the centre of the circle.13. The cross section of a foot stool and its dimensions are shown in Fig. (a):


(i) Find the area of the cross section of the stool.

(ii) The manufacturer is considering changing the cross section of this stool to that shown in Fig. (b), where arc ABC is a semicircle.


Calculate the percentage increase or decrease in the area of the cross section.​
12. Find the area of the shaded region, where O is the centre of the circle. 13. The cross section of a foot stool and its dimensions are shown in Fig. (a): (i) Find the area of the cross section of the stool. (ii) The manufacturer is considering changing the cross section of this stool to that shown in Fig. (b), where arc ABC is a semicircle. Calculate the percentage increase or decrease in the area of the cross section.​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Jawab:

Penjelasan dengan langkah-langkah:

ABCD = 1/2(15+13+12) x 24 = 480 cm²

EGDH = 13x16=208

COB= 1/2 x 1/4πD²

       = 1/2 x 1/4 x 22/7 x 15²

       = 88,4 cm²

Area of the shaded region :

= 480-208-88,4 = 183,6 cm²

A1 = 1/2(35+40) x 30 = 1125 cm²

A2 = 1/2(15+30) =337,5 cm²

A3 = 1/2 x 1/4πD²

     = 1/2 x 1/4 x 22/7 x 30²

     = 353,57 cm²

A3-A2 = 353,57 - 337,5 = 16,07  increase

Percentage of increase is 16,07/353,57 x 100% = 4,76%

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Last Update: Tue, 05 Jul 22
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