The diagram below shows the layout of a running track.

Berikut ini adalah pertanyaan dari cherishT pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

The diagram below shows the layout of a running track. PRST is a square and PQR is a semi-circle with centre O and radius 80 m.(a) Write down the length of PT.
(b) Rajah jogs at a constant pace of 9 km/h around the perimeter of the running track.
(i) Convert Rajah's speed into m/s. Show your working clearly.
(ii) Find the time taken for him to jog 1 complete round. (Take 1 = 3.14)​
The diagram below shows the layout of a running track. PRST is a square and PQR is a semi-circle with centre O and radius 80 m. (a) Write down the length of PT. (b) Rajah jogs at a constant pace of 9 km/h around the perimeter of the running track. (i) Convert Rajah's speed into m/s. Show your working clearly. (ii) Find the time taken for him to jog 1 complete round. (Take 1 = 3.14)​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

a.

PT = PR

PT = 2 x 80 = 160 m

b.

v = 9 km/h

v = 9000 m / 3600 s

v = 2.5 m/s

perimeter = ( ½ π d ) + PT + TS + SR

perimeter = (½ × 3.14 × 160) + (3 × 160)

perimeter = 251.2 + 480

perimeter = 731.2 m

time = 731.2 × 2.5 = 1828 s

time = 1828/60 = 30.46 minutes

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Last Update: Mon, 11 Jul 22